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400440004440 = 23357476714291
BaseRepresentation
bin1011101001111000001…
…01011000111101011000
31102021121100111220121120
411310330011120331120
523030100120120230
6503543135005240
740634163606540
oct5647405307530
91367540456546
10400440004440
11144909a41233
1265736669820
132b9b88484b8
141554a7bc320
15a63a360310
hex5d3c158f58

400440004440 has 64 divisors (see below), whose sum is σ = 1372937160960. Its totient is φ = 91529143680.

The previous prime is 400440004439. The next prime is 400440004453. The reversal of 400440004440 is 44400044004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 400440004440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238356306 + ... + 238357985.

It is an arithmetic number, because the mean of its divisors is an integer number (21452143140).

Almost surely, 2400440004440 is an apocalyptic number.

400440004440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400440004440 is an abundant number, since it is smaller than the sum of its proper divisors (972497156520).

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

400440004440 is a wasteful number, since it uses less digits than its factorization.

400440004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476714312 (or 476714308 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 400440004440 its reverse (44400044004), we get a palindrome (444840048444).

The spelling of 400440004440 in words is "four hundred billion, four hundred forty million, four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 476714291 953428582 1430142873 1906857164 2383571455 2860285746 3337000037 3813714328 4767142910 5720571492 6674000074 7150714365 9534285820 10011000111 11441142984 13348000148 14301428730 16685000185 19068571640 20022000222 26696000296 28602857460 33370000370 40044000444 50055000555 57205714920 66740000740 80088000888 100110001110 133480001480 200220002220 400440004440