42556800 has 384 divisors, whose sum is σ = 169989120. Its totient is φ = 9216000.

The previous prime is 42556781. The next prime is 42556823. The reversal of 42556800 is 865524.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×42556800² = 3622162452480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372785 + ... + 1372815.

It is an arithmetic number, because the mean of its divisors is an integer number (442680).

Almost surely, 2^42556800 is an apocalyptic number.

42556800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84994560).

42556800 is an abundant number, since it is smaller than the sum of its proper divisors (127432320).

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

42556800 is a wasteful number, since it uses less digits than its factorization.

42556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 42556800 is about 6523.5573117740. The cubic root of 42556800 is about 349.1319987934.

The spelling of 42556800 in words is "forty-two million, five hundred fifty-six thousand, eight hundred".