42585752402176 has 27 divisors (see below), whose sum is σ = 85005362626513. Its totient is φ = 21292823994880.

The previous prime is 42585752402117. The next prime is 42585752402177. The reversal of 42585752402176 is 67120425758524.

The square root of 42585752402176 is 6525776.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14703973099776 + 27881779302400 = 3834576^2 + 5280320^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42585752402176.

It is not an unprimeable number, because it can be changed into a prime (42585752402177) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 104208486 + ... + 104616346.

Almost surely, 2^{42585752402176} is an apocalyptic number.

42585752402176 is the 6525776-th square number.

It is an amenable number.

42585752402176 is a deficient number, since it is larger than the sum of its proper divisors (42419610224337).

42585752402176 is an frugal number, since it uses more digits than its factorization.

42585752402176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815738 (or 407863 counting only the distinct ones).

The product of its (nonzero) digits is 37632000, while the sum is 58.

The spelling of 42585752402176 in words is "forty-two trillion, five hundred eighty-five billion, seven hundred fifty-two million, four hundred two thousand, one hundred seventy-six".