42042960 has 60 divisors (see below), whose sum is σ = 141196692. Its totient is φ = 11211264.

The previous prime is 42042943. The next prime is 42042961. The reversal of 42042960 is 6924024.

It can be written as a sum of positive squares in 2 ways, for example, as 12362256 + 29680704 = 3516^2 + 5448^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×42042960² = 3535220971123200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42042961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28477 + ... + 29916.

Almost surely, 2^42042960 is an apocalyptic number.

42042960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42042960 is an abundant number, since it is smaller than the sum of its proper divisors (99153732).

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

42042960 is a wasteful number, since it uses less digits than its factorization.

42042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58412 (or 58403 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42042960 is about 6484.0542872496. The cubic root of 42042960 is about 347.7211400594.

Adding to 42042960 its reverse (6924024), we get a palindrome (48966984).

The spelling of 42042960 in words is "forty-two million, forty-two thousand, nine hundred sixty".