42582124800 has 162 divisors, whose sum is σ = 152240912642. Its totient is φ = 11355217920.

The previous prime is 42582124789. The next prime is 42582124829. The reversal of 42582124800 is 842128524.

It can be written as a sum of positive squares in 3 ways, for example, as 10423593216 + 32158531584 = 102096^2 + 179328^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 312037 + ... + 427236.

Almost surely, 2^42582124800 is an apocalyptic number.

42582124800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42582124800 is an abundant number, since it is smaller than the sum of its proper divisors (109658787842).

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

42582124800 is a wasteful number, since it uses less digits than its factorization.

42582124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739305 (or 739283 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 42582124800 in words is "forty-two billion, five hundred eighty-two million, one hundred twenty-four thousand, eight hundred".