40690744013824 has 176 divisors, whose sum is σ = 82675349568000. Its totient is φ = 20014797643776.

The previous prime is 40690744013819. The next prime is 40690744013873. The reversal of 40690744013824 is 42831044709604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27438127387 + ... + 27438128869.

Almost surely, 2^{40690744013824} 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 40690744013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41337674784000).

40690744013824 is an abundant number, since it is smaller than the sum of its proper divisors (41984605554176).

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

40690744013824 is a wasteful number, since it uses less digits than its factorization.

40690744013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 52.

The spelling of 40690744013824 in words is "forty trillion, six hundred ninety billion, seven hundred forty-four million, thirteen thousand, eight hundred twenty-four".