42600870400 has 120 divisors (see below), whose sum is σ = 115142545584. Its totient is φ = 15491174400.

The previous prime is 42600870397. The next prime is 42600870419. The reversal of 42600870400 is 407800624.

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, 10482 + ... + 292081.

Almost surely, 2^42600870400 is an apocalyptic number.

42600870400 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 42600870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57571272792).

42600870400 is an abundant number, since it is smaller than the sum of its proper divisors (72541675184).

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

42600870400 is a wasteful number, since it uses less digits than its factorization.

42600870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302602 (or 302581 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 42600870400 in words is "forty-two billion, six hundred million, eight hundred seventy thousand, four hundred".