42657344732160 has 264 divisors, whose sum is σ = 156501096716016. Its totient is φ = 10706156912640.

The previous prime is 42657344732159. The next prime is 42657344732407. The reversal of 42657344732160 is 6123744375624.

42657344732160 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 7 + 3 + 4 + 473 + 2 + 160 = 666.

42657344732160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42657344732097 and 42657344732106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26443806 + ... + 28010525.

Almost surely, 2^{42657344732160} is an apocalyptic number.

42657344732160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42657344732160 is an abundant number, since it is smaller than the sum of its proper divisors (113843751983856).

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

42657344732160 is a wasteful number, since it uses less digits than its factorization.

42657344732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54454379 (or 54454358 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 42657344732160 in words is "forty-two trillion, six hundred fifty-seven billion, three hundred forty-four million, seven hundred thirty-two thousand, one hundred sixty".