42200563600 has 120 divisors (see below), whose sum is σ = 109276616960. Its totient is φ = 15568796160.

The previous prime is 42200563577. The next prime is 42200563619. The reversal of 42200563600 is 636500224.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8145811 + ... + 8150989.

Almost surely, 2^42200563600 is an apocalyptic number.

42200563600 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 42200563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54638308480).

42200563600 is an abundant number, since it is smaller than the sum of its proper divisors (67076053360).

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

42200563600 is a wasteful number, since it uses less digits than its factorization.

42200563600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6777 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

It can be divided in two parts, 422005 and 63600, that added together give a triangular number (485605 = T₉₈₅).

The spelling of 42200563600 in words is "forty-two billion, two hundred million, five hundred sixty-three thousand, six hundred".