42100468968960 has 1120 divisors, whose sum is σ = 160045943904000. Its totient is φ = 10599048806400.

The previous prime is 42100468968923. The next prime is 42100468969021. The reversal of 42100468968960 is 6986986400124.

42100468968960 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 0 + 468 + 96 + 89 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2371982166 + ... + 2371999914.

It is an arithmetic number, because the mean of its divisors is an integer number (142898164200).

Almost surely, 2^{42100468968960} is an apocalyptic number.

42100468968960 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 42100468968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80022971952000).

42100468968960 is an abundant number, since it is smaller than the sum of its proper divisors (117945474935040).

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

42100468968960 is an equidigital number, since it uses as much as digits as its factorization.

42100468968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17862 (or 17831 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 42100468968960 in words is "forty-two trillion, one hundred billion, four hundred sixty-eight million, nine hundred sixty-eight thousand, nine hundred sixty".