40052482464960 has 2688 divisors, whose sum is σ = 172660115496960. Its totient is φ = 8647361888256.

The previous prime is 40052482464887. The next prime is 40052482464961. The reversal of 40052482464960 is 6946428425004.

40052482464960 is a `hidden beast` number, since 4 + 0 + 0 + 52 + 48 + 2 + 464 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40052482464897 and 40052482464906.

It is not an unprimeable number, because it can be changed into a prime (40052482464961) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 167583608521 + ... + 167583608759.

It is an arithmetic number, because the mean of its divisors is an integer number (64233673920).

Almost surely, 2^{40052482464960} is an apocalyptic number.

40052482464960 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 40052482464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86330057748480).

40052482464960 is an abundant number, since it is smaller than the sum of its proper divisors (132607633032000).

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

40052482464960 is a wasteful number, since it uses less digits than its factorization.

40052482464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 40052482464960 in words is "forty trillion, fifty-two billion, four hundred eighty-two million, four hundred sixty-four thousand, nine hundred sixty".