42582086400 has 432 divisors, whose sum is σ = 164965385984. Its totient is φ = 9468887040.

The previous prime is 42582086383. The next prime is 42582086419. The reversal of 42582086400 is 468028524.

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, 4968519 + ... + 4977081.

Almost surely, 2^42582086400 is an apocalyptic number.

42582086400 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 42582086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82482692992).

42582086400 is an abundant number, since it is smaller than the sum of its proper divisors (122383299584).

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

42582086400 is a wasteful number, since it uses less digits than its factorization.

42582086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8636 (or 8617 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 42582086400 in words is "forty-two billion, five hundred eighty-two million, eighty-six thousand, four hundred".