40440539146752 has 400 divisors, whose sum is σ = 125001955568160. Its totient is φ = 13001235996672.

The previous prime is 40440539146747. The next prime is 40440539146771. The reversal of 40440539146752 is 25764193504404.

40440539146752 is a `hidden beast` number, since 4 + 0 + 4 + 40 + 5 + 3 + 91 + 467 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1138927783 + ... + 1138963289.

Almost surely, 2^{40440539146752} 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 40440539146752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62500977784080).

40440539146752 is an abundant number, since it is smaller than the sum of its proper divisors (84561416421408).

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

40440539146752 is an equidigital number, since it uses as much as digits as its factorization.

40440539146752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36513 (or 36488 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 40440539146752 in words is "forty trillion, four hundred forty billion, five hundred thirty-nine million, one hundred forty-six thousand, seven hundred fifty-two".