40959572832 has 192 divisors, whose sum is σ = 123212275200. Its totient is φ = 13231572480.

The previous prime is 40959572779. The next prime is 40959572861. The reversal of 40959572832 is 23827595904.

40959572832 is a `hidden beast` number, since 40 + 9 + 595 + 7 + 2 + 8 + 3 + 2 = 666.

It is a super-3 number, since 3×40959572832³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3613638 + ... + 3624954.

It is an arithmetic number, because the mean of its divisors is an integer number (641730600).

Almost surely, 2^40959572832 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 40959572832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61606137600).

40959572832 is an abundant number, since it is smaller than the sum of its proper divisors (82252702368).

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

40959572832 is a wasteful number, since it uses less digits than its factorization.

40959572832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11466 (or 11452 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 40959572832 in words is "forty billion, nine hundred fifty-nine million, five hundred seventy-two thousand, eight hundred thirty-two".