42042400 has 36 divisors (see below), whose sum is σ = 102637962. Its totient is φ = 16816640.

The previous prime is 42042389. The next prime is 42042439. The reversal of 42042400 is 424024.

It can be written as a sum of positive squares in 3 ways, for example, as 38787984 + 3254416 = 6228^2 + 1804^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25477 + ... + 27076.

Almost surely, 2^42042400 is an apocalyptic number.

42042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42042400 is an abundant number, since it is smaller than the sum of its proper divisors (60595562).

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

42042400 is a wasteful number, since it uses less digits than its factorization.

42042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52573 (or 52560 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42042400 is about 6484.0111042471. The cubic root of 42042400 is about 347.7195962044.

Adding to 42042400 its reverse (424024), we get a palindrome (42466424).

The spelling of 42042400 in words is "forty-two million, forty-two thousand, four hundred".