42644400 has 60 divisors (see below), whose sum is σ = 136608072. Its totient is φ = 11371520.

The previous prime is 42644389. The next prime is 42644411. The reversal of 42644400 is 444624.

It is an interprime number because it is at equal distance from previous prime (42644389) and next prime (42644411).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16569 + ... + 18968.

Almost surely, 2^42644400 is an apocalyptic number.

42644400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42644400 is an abundant number, since it is smaller than the sum of its proper divisors (93963672).

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

42644400 is a wasteful number, since it uses less digits than its factorization.

42644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35558 (or 35547 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 42644400 is about 6530.2679883754. The cubic root of 42644400 is about 349.3713886764.

The spelling of 42644400 in words is "forty-two million, six hundred forty-four thousand, four hundred".