42157520 has 80 divisors (see below), whose sum is σ = 102850560. Its totient is φ = 16051200.

The previous prime is 42157519. The next prime is 42157537. The reversal of 42157520 is 2575124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 42157520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220625 + ... + 220815.

It is an arithmetic number, because the mean of its divisors is an integer number (1285632).

Almost surely, 2^42157520 is an apocalyptic number.

42157520 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 42157520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51425280).

42157520 is an abundant number, since it is smaller than the sum of its proper divisors (60693040).

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

42157520 is a wasteful number, since it uses less digits than its factorization.

42157520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 42157520 is about 6492.8822567485. The cubic root of 42157520 is about 348.0366808563.

The spelling of 42157520 in words is "forty-two million, one hundred fifty-seven thousand, five hundred twenty".