41439930624 has 81 divisors (see below), whose sum is σ = 119509715689. Its totient is φ = 13810053120.

The previous prime is 41439930613. The next prime is 41439930647. The reversal of 41439930624 is 42603993414.

The square root of 41439930624 is 203568.

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

41439930624 is a `hidden beast` number, since 4 + 14 + 3 + 9 + 9 + 3 + 0 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40816929024 + 623001600 = 202032^2 + 24960^2 .

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 41439930624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9769144 + ... + 9773384.

Almost surely, 2^41439930624 is an apocalyptic number.

41439930624 is the 203568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41439930624

41439930624 is an abundant number, since it is smaller than the sum of its proper divisors (78069785065).

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

41439930624 is an frugal number, since it uses more digits than its factorization.

41439930624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8504 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 41439930624 in words is "forty-one billion, four hundred thirty-nine million, nine hundred thirty thousand, six hundred twenty-four".