42872094720 has 1200 divisors, whose sum is σ = 191833221888. Its totient is φ = 8918138880.

The previous prime is 42872094709. The next prime is 42872094751. The reversal of 42872094720 is 2749027824.

42872094720 is a `hidden beast` number, since 428 + 72 + 0 + 94 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 603832285 + ... + 603832355.

Almost surely, 2^42872094720 is an apocalyptic number.

42872094720 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 42872094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95916610944).

42872094720 is an abundant number, since it is smaller than the sum of its proper divisors (148961127168).

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

42872094720 is an equidigital number, since it uses as much as digits as its factorization.

42872094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 42872094720 in words is "forty-two billion, eight hundred seventy-two million, ninety-four thousand, seven hundred twenty".