40010772032 has 336 divisors, whose sum is σ = 106076252160. Its totient is φ = 14778086400.

The previous prime is 40010772007. The next prime is 40010772037. The reversal of 40010772032 is 23027701004.

It is a junction number, because it is equal to n+sod(n) for n = 40010771992 and 40010772010.

It is not an unprimeable number, because it can be changed into a prime (40010772037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167408969 + ... + 167409207.

Almost surely, 2^40010772032 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 40010772032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53038126080).

40010772032 is an abundant number, since it is smaller than the sum of its proper divisors (66065480128).

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

40010772032 is a wasteful number, since it uses less digits than its factorization.

40010772032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The spelling of 40010772032 in words is "forty billion, ten million, seven hundred seventy-two thousand, thirty-two".