40839956352 has 448 divisors, whose sum is σ = 132886852560. Its totient is φ = 12421693440.

The previous prime is 40839956323. The next prime is 40839956369. The reversal of 40839956352 is 25365993804.

40839956352 is a `hidden beast` number, since 40 + 8 + 39 + 9 + 563 + 5 + 2 = 666.

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 55 ways as a sum of consecutive naturals, for example, 158910208 + ... + 158910464.

Almost surely, 2^40839956352 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 40839956352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66443426280).

40839956352 is an abundant number, since it is smaller than the sum of its proper divisors (92046896208).

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

40839956352 is a wasteful number, since it uses less digits than its factorization.

40839956352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 40839956352 in words is "forty billion, eight hundred thirty-nine million, nine hundred fifty-six thousand, three hundred fifty-two".