40344364032 has 528 divisors, whose sum is σ = 134055770112. Its totient is φ = 10729635840.

The previous prime is 40344364019. The next prime is 40344364057. The reversal of 40344364032 is 23046344304.

It is a junction number, because it is equal to n+sod(n) for n = 40344363984 and 40344364002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148872057 + ... + 148872327.

It is an arithmetic number, because the mean of its divisors is an integer number (253893504).

Almost surely, 2^40344364032 is an apocalyptic number.

40344364032 is a gapful number since it is divisible by the number (42) 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 40344364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67027885056).

40344364032 is an abundant number, since it is smaller than the sum of its proper divisors (93711406080).

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

40344364032 is a wasteful number, since it uses less digits than its factorization.

40344364032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

The spelling of 40344364032 in words is "forty billion, three hundred forty-four million, three hundred sixty-four thousand, thirty-two".