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401340543552 = 26331329718677
BaseRepresentation
bin1011101011100011100…
…00101011001001000000
31102100221010001001001000
411311301300223021000
523033421134343202
6504212344412000
740665410222154
oct5656160531100
91370833031030
10401340543552
11145231301633
1265948177000
132bb002a0390
14155d4239064
15a68e44691c
hex5d71c2b240

401340543552 has 448 divisors, whose sum is σ = 1333107417600. Its totient is φ = 117538283520.

The previous prime is 401340543503. The next prime is 401340543601. The reversal of 401340543552 is 255345043104.

401340543552 is a `hidden beast` number, since 4 + 0 + 13 + 40 + 54 + 3 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (401340543503) and next prime (401340543601).

It is a super-2 number, since 2×4013405435522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 46249038 + ... + 46257714.

It is an arithmetic number, because the mean of its divisors is an integer number (2975686200).

Almost surely, 2401340543552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401340543552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666553708800).

401340543552 is an abundant number, since it is smaller than the sum of its proper divisors (931766874048).

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

401340543552 is a wasteful number, since it uses less digits than its factorization.

401340543552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8811 (or 8795 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 401340543552 its reverse (255345043104), we get a palindrome (656685586656).

The spelling of 401340543552 in words is "four hundred one billion, three hundred forty million, five hundred forty-three thousand, five hundred fifty-two".