40932023904 has 144 divisors (see below), whose sum is σ = 123369311520. Its totient is φ = 12828733440.

The previous prime is 40932023809. The next prime is 40932023911.

40932023904 is nontrivially palindromic in base 10.

40932023904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5778637 + ... + 5785715.

It is an arithmetic number, because the mean of its divisors is an integer number (856731330).

Almost surely, 2^40932023904 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 40932023904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61684655760).

40932023904 is an abundant number, since it is smaller than the sum of its proper divisors (82437287616).

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

40932023904 is a wasteful number, since it uses less digits than its factorization.

40932023904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8293 (or 8282 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 40932023904 in words is "forty billion, nine hundred thirty-two million, twenty-three thousand, nine hundred four".