40038795984 has 320 divisors, whose sum is σ = 119471210496. Its totient is φ = 11444160000.

The previous prime is 40038795941. The next prime is 40038796001. The reversal of 40038795984 is 48959783004.

40038795984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152238637 + ... + 152238899.

Almost surely, 2^40038795984 is an apocalyptic number.

40038795984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40038795984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59735605248).

40038795984 is an abundant number, since it is smaller than the sum of its proper divisors (79432414512).

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

40038795984 is a wasteful number, since it uses less digits than its factorization.

40038795984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 40038795984 in words is "forty billion, thirty-eight million, seven hundred ninety-five thousand, nine hundred eighty-four".