42157360 has 80 divisors (see below), whose sum is σ = 113492736. Its totient is φ = 14264064.

The previous prime is 42157343. The next prime is 42157361. The reversal of 42157360 is 6375124.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (42157361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46027 + ... + 46933.

Almost surely, 2^42157360 is an apocalyptic number.

42157360 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 42157360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56746368).

42157360 is an abundant number, since it is smaller than the sum of its proper divisors (71335376).

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

42157360 is a wasteful number, since it uses less digits than its factorization.

42157360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 42157360 is about 6492.8699355524. The cubic root of 42157360 is about 348.0362405557.

The spelling of 42157360 in words is "forty-two million, one hundred fifty-seven thousand, three hundred sixty".