42132613760 has 64 divisors (see below), whose sum is σ = 101305761480. Its totient is φ = 16755585024.

The previous prime is 42132613751. The next prime is 42132613819. The reversal of 42132613760 is 6731623124.

It can be written as a sum of positive squares in 4 ways, for example, as 39105853504 + 3026760256 = 197752^2 + 55016^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 42132613760.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79547 + ... + 300986.

Almost surely, 2^42132613760 is an apocalyptic number.

42132613760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42132613760 is an abundant number, since it is smaller than the sum of its proper divisors (59173147720).

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

42132613760 is a wasteful number, since it uses less digits than its factorization.

42132613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380725 (or 380713 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 42132613760 in words is "forty-two billion, one hundred thirty-two million, six hundred thirteen thousand, seven hundred sixty".