42945610800 has 360 divisors, whose sum is σ = 148982692176. Its totient is φ = 10538106880.

The previous prime is 42945610793. The next prime is 42945610823. The reversal of 42945610800 is 801654924.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45063124 + ... + 45064076.

Almost surely, 2^42945610800 is an apocalyptic number.

42945610800 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 42945610800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74491346088).

42945610800 is an abundant number, since it is smaller than the sum of its proper divisors (106037081376).

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

42945610800 is a wasteful number, since it uses less digits than its factorization.

42945610800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 42945610800 in words is "forty-two billion, nine hundred forty-five million, six hundred ten thousand, eight hundred".