42124960 has 48 divisors (see below), whose sum is σ = 103856256. Its totient is φ = 16115968.

The previous prime is 42124949. The next prime is 42124961. The reversal of 42124960 is 6942124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42124961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2044 + ... + 9403.

It is an arithmetic number, because the mean of its divisors is an integer number (2163672).

Almost surely, 2^42124960 is an apocalyptic number.

42124960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42124960 is an abundant number, since it is smaller than the sum of its proper divisors (61731296).

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

42124960 is a wasteful number, since it uses less digits than its factorization.

42124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11485 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 42124960 is about 6490.3744113880. The cubic root of 42124960 is about 347.9470567276.

The spelling of 42124960 in words is "forty-two million, one hundred twenty-four thousand, nine hundred sixty".