40792455728000 has 512 divisors, whose sum is σ = 104632484935680. Its totient is φ = 15808945152000.

The previous prime is 40792455727921. The next prime is 40792455728021. The reversal of 40792455728000 is 82755429704.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (53).

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, 42010767515 + ... + 42010768485.

It is an arithmetic number, because the mean of its divisors is an integer number (204360322140).

Almost surely, 2^{40792455728000} is an apocalyptic number.

40792455728000 is a gapful number since it is divisible by the number (40) 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 40792455728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52316242467840).

40792455728000 is an abundant number, since it is smaller than the sum of its proper divisors (63840029207680).

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

40792455728000 is a wasteful number, since it uses less digits than its factorization.

40792455728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 53.

The spelling of 40792455728000 in words is "forty trillion, seven hundred ninety-two billion, four hundred fifty-five million, seven hundred twenty-eight thousand".