42581972160 has 840 divisors, whose sum is σ = 189829165680. Its totient is φ = 8980844544.

The previous prime is 42581972149. The next prime is 42581972179. The reversal of 42581972160 is 6127918524.

42581972160 is a `hidden beast` number, since 4 + 2 + 581 + 9 + 7 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 16509751 + ... + 16512329.

It is an arithmetic number, because the mean of its divisors is an integer number (225987102).

Almost surely, 2^42581972160 is an apocalyptic number.

42581972160 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 42581972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94914582840).

42581972160 is an abundant number, since it is smaller than the sum of its proper divisors (147247193520).

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

42581972160 is a wasteful number, since it uses less digits than its factorization.

42581972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 42581972160 in words is "forty-two billion, five hundred eighty-one million, nine hundred seventy-two thousand, one hundred sixty".