40788094784736 has 384 divisors, whose sum is σ = 122635586691072. Its totient is φ = 11778960384000.

The previous prime is 40788094784651. The next prime is 40788094784753. The reversal of 40788094784736 is 63748749088704.

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, 445137006 + ... + 445228626.

It is an arithmetic number, because the mean of its divisors is an integer number (319363507008).

Almost surely, 2^{40788094784736} 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 40788094784736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61317793345536).

40788094784736 is an abundant number, since it is smaller than the sum of its proper divisors (81847491906336).

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

40788094784736 is a wasteful number, since it uses less digits than its factorization.

40788094784736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92026 (or 92018 counting only the distinct ones).

The product of its (nonzero) digits is 1820786688, while the sum is 75.

The spelling of 40788094784736 in words is "forty trillion, seven hundred eighty-eight billion, ninety-four million, seven hundred eighty-four thousand, seven hundred thirty-six".