42521739264 has 225 divisors, whose sum is σ = 127750046347. Its totient is φ = 14094729216.

The previous prime is 42521739257. The next prime is 42521739287. The reversal of 42521739264 is 46293712524.

The square root of 42521739264 is 206208.

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

42521739264 is a `hidden beast` number, since 4 + 252 + 1 + 7 + 392 + 6 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 237551527 + ... + 237551705.

Almost surely, 2^42521739264 is an apocalyptic number.

42521739264 is the 206208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42521739264

42521739264 is an abundant number, since it is smaller than the sum of its proper divisors (85228307083).

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

42521739264 is an frugal number, since it uses more digits than its factorization.

42521739264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 184 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 42521739264 in words is "forty-two billion, five hundred twenty-one million, seven hundred thirty-nine thousand, two hundred sixty-four".