40325722560000 has 800 divisors, whose sum is σ = 153973592678400. Its totient is φ = 10406568960000.

The previous prime is 40325722559999. The next prime is 40325722560049. The reversal of 40325722560000 is 6522752304.

40325722560000 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 572 + 25 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 267764721 + ... + 267915279.

It is an arithmetic number, because the mean of its divisors is an integer number (192466990848).

Almost surely, 2^{40325722560000} is an apocalyptic number.

40325722560000 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 40325722560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76986796339200).

40325722560000 is an abundant number, since it is smaller than the sum of its proper divisors (113647870118400).

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

40325722560000 is an equidigital number, since it uses as much as digits as its factorization.

40325722560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150637 (or 150600 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 40325722560000 in words is "forty trillion, three hundred twenty-five billion, seven hundred twenty-two million, five hundred sixty thousand".