42657120 has 144 divisors (see below), whose sum is σ = 158859792. Its totient is φ = 10337280.

The previous prime is 42657119. The next prime is 42657143. The reversal of 42657120 is 2175624.

42657120 is a `hidden beast` number, since 4 + 2 + 657 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14494 + ... + 17186.

It is an arithmetic number, because the mean of its divisors is an integer number (1103193).

Almost surely, 2^42657120 is an apocalyptic number.

42657120 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 42657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79429896).

42657120 is an abundant number, since it is smaller than the sum of its proper divisors (116202672).

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

42657120 is a wasteful number, since it uses less digits than its factorization.

42657120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42657120 is about 6531.2418421002. The cubic root of 42657120 is about 349.4061221333.

The spelling of 42657120 in words is "forty-two million, six hundred fifty-seven thousand, one hundred twenty".