42157070760 has 512 divisors, whose sum is σ = 155410513920. Its totient is φ = 8941363200.

The previous prime is 42157070731. The next prime is 42157070773. The reversal of 42157070760 is 6707075124.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100135350 + ... + 100135770.

It is an arithmetic number, because the mean of its divisors is an integer number (303536160).

Almost surely, 2^42157070760 is an apocalyptic number.

42157070760 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 42157070760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77705256960).

42157070760 is an abundant number, since it is smaller than the sum of its proper divisors (113253443160).

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

42157070760 is a wasteful number, since it uses less digits than its factorization.

42157070760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 42157070760 in words is "forty-two billion, one hundred fifty-seven million, seventy thousand, seven hundred sixty".