42088800 has 288 divisors, whose sum is σ = 157489920. Its totient is φ = 9676800.

The previous prime is 42088789. The next prime is 42088817. The reversal of 42088800 is 888024.

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, 592765 + ... + 592835.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 2^42088800 is an apocalyptic number.

42088800 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 42088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

42088800 is an abundant number, since it is smaller than the sum of its proper divisors (115401120).

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

42088800 is a wasteful number, since it uses less digits than its factorization.

42088800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 42088800 is about 6487.5881496901. The cubic root of 42088800 is about 347.8474691565.

The spelling of 42088800 in words is "forty-two million, eighty-eight thousand, eight hundred".