40034032896 has 432 divisors, whose sum is σ = 130314974720. Its totient is φ = 10826956800.

The previous prime is 40034032873. The next prime is 40034032943. The reversal of 40034032896 is 69823043004.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 37449450 + ... + 37450518.

Almost surely, 2^40034032896 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 40034032896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65157487360).

40034032896 is an abundant number, since it is smaller than the sum of its proper divisors (90280941824).

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

40034032896 is a wasteful number, since it uses less digits than its factorization.

40034032896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 40034032896 in words is "forty billion, thirty-four million, thirty-two thousand, eight hundred ninety-six".