4047639966720 has 1056 divisors, whose sum is σ = 16780941797760. Its totient is φ = 922531921920.

The previous prime is 4047639966641. The next prime is 4047639966737. The reversal of 4047639966720 is 276699367404.

4047639966720 is a `hidden beast` number, since 4 + 0 + 476 + 3 + 9 + 96 + 6 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3325915552 + ... + 3325916768.

Almost surely, 2^{4047639966720} is an apocalyptic number.

4047639966720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4047639966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8390470898880).

4047639966720 is an abundant number, since it is smaller than the sum of its proper divisors (12733301831040).

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

4047639966720 is a wasteful number, since it uses less digits than its factorization.

4047639966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 4047639966720 in words is "four trillion, forty-seven billion, six hundred thirty-nine million, nine hundred sixty-six thousand, seven hundred twenty".