1042414800 has 120 divisors (see below), whose sum is σ = 3816261696. Its totient is φ = 238264320.

The previous prime is 1042414799. The next prime is 1042414819. The reversal of 1042414800 is 84142401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53649 + ... + 70448.

Almost surely, 2^1042414800 is an apocalyptic number.

1042414800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042414800 is an abundant number, since it is smaller than the sum of its proper divisors (2773846896).

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

1042414800 is a wasteful number, since it uses less digits than its factorization.

1042414800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124125 (or 124114 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 1042414800 is about 32286.4491698917. The cubic root of 1042414800 is about 1013.9429570827.

The spelling of 1042414800 in words is "one billion, forty-two million, four hundred fourteen thousand, eight hundred".