40353257521152 has 512 divisors, whose sum is σ = 133260441840000. Its totient is φ = 11993452904448.

The previous prime is 40353257521121. The next prime is 40353257521177. The reversal of 40353257521152 is 25112575235304.

40353257521152 is a `hidden beast` number, since 4 + 0 + 3 + 5 + 3 + 2 + 575 + 21 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a junction number, because it is equal to n+sod(n) for n = 40353257521098 and 40353257521107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285699124 + ... + 285840332.

Almost surely, 2^{40353257521152} 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 40353257521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66630220920000).

40353257521152 is an abundant number, since it is smaller than the sum of its proper divisors (92907184318848).

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

40353257521152 is a wasteful number, since it uses less digits than its factorization.

40353257521152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141284 (or 141250 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 40353257521152 in words is "forty trillion, three hundred fifty-three billion, two hundred fifty-seven million, five hundred twenty-one thousand, one hundred fifty-two".