42511795872 has 576 divisors, whose sum is σ = 144903112704. Its totient is φ = 10674892800.

The previous prime is 42511795861. The next prime is 42511795883. The reversal of 42511795872 is 27859711524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42511795861) and next prime (42511795883).

Its product of digits (1411200) is a multiple of the sum of its prime divisors (280).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281534997 + ... + 281535147.

It is an arithmetic number, because the mean of its divisors is an integer number (251567904).

Almost surely, 2^42511795872 is an apocalyptic number.

42511795872 is a gapful number since it is divisible by the number (42) 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 42511795872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72451556352).

42511795872 is an abundant number, since it is smaller than the sum of its proper divisors (102391316832).

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

42511795872 is a wasteful number, since it uses less digits than its factorization.

42511795872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 51.

The spelling of 42511795872 in words is "forty-two billion, five hundred eleven million, seven hundred ninety-five thousand, eight hundred seventy-two".