42157160128512 has 2688 divisors, whose sum is σ = 161430543198720. Its totient is φ = 10732343132160.

The previous prime is 42157160128453. The next prime is 42157160128651. The reversal of 42157160128512 is 21582106175124.

42157160128512 is a `hidden beast` number, since 4 + 2 + 1 + 5 + 7 + 1 + 6 + 0 + 128 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 258632884143 + ... + 258632884305.

Almost surely, 2^{42157160128512} 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 42157160128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80715271599360).

42157160128512 is an abundant number, since it is smaller than the sum of its proper divisors (119273383070208).

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

42157160128512 is a wasteful number, since it uses less digits than its factorization.

42157160128512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 42157160128512 in words is "forty-two trillion, one hundred fifty-seven billion, one hundred sixty million, one hundred twenty-eight thousand, five hundred twelve".