4480639029504 has 729 divisors, whose sum is σ = 15058055517687. Its totient is φ = 1280211609600.

The previous prime is 4480639029487. The next prime is 4480639029511. The reversal of 4480639029504 is 4059209360844.

The square root of 4480639029504 is 2116752.

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

4480639029504 is a `hidden beast` number, since 4 + 4 + 80 + 6 + 39 + 0 + 29 + 504 = 666.

It is a super-2 number, since 2×4480639029504² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21235255959 + ... + 21235256169.

Almost surely, 2^{4480639029504} is an apocalyptic number.

4480639029504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4480639029504 is the 2116752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4480639029504

4480639029504 is an abundant number, since it is smaller than the sum of its proper divisors (10577416488183).

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

4480639029504 is a wasteful number, since it uses less digits than its factorization.

4480639029504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4480639029504 in words is "four trillion, four hundred eighty billion, six hundred thirty-nine million, twenty-nine thousand, five hundred four".