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400808880880 = 24512749937901
BaseRepresentation
bin1011101010100100001…
…00100010101011110000
31102022120001121202221221
411311102010202223300
523031324033142010
6504043513154424
740646263163212
oct5652204425360
91368501552857
10400808880880
11144a891895a1
126581a0bba14
132ba470b0595
14155837a05b2
15a65c926dda
hex5d52122af0

400808880880 has 80 divisors (see below), whose sum is σ = 939525295104. Its totient is φ = 159009177600.

The previous prime is 400808880827. The next prime is 400808880937. The reversal of 400808880880 is 88088808004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50724930 + ... + 50732830.

Almost surely, 2400808880880 is an apocalyptic number.

400808880880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400808880880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469762647552).

400808880880 is an abundant number, since it is smaller than the sum of its proper divisors (538716414224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400808880880 is a wasteful number, since it uses less digits than its factorization.

400808880880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13034 (or 13028 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 52.

The spelling of 400808880880 in words is "four hundred billion, eight hundred eight million, eight hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 4993 5080 7901 9986 10160 15802 19972 24965 31604 39505 39944 49930 63208 79010 79888 99860 126416 158020 199720 316040 399440 632080 634111 1003427 1268222 2006854 2536444 3170555 4013708 5017135 5072888 6341110 8027416 10034270 10145776 12682220 16054832 20068540 25364440 39449693 40137080 50728880 78899386 80274160 157798772 197248465 315597544 394496930 631195088 788993860 1577987720 3155975440 5010111011 10020222022 20040444044 25050555055 40080888088 50101110110 80161776176 100202220220 200404440440 400808880880