8949440388735 has 288 divisors, whose sum is σ = 20118952788480. Its totient is φ = 3575050214400.

The previous prime is 8949440388653. The next prime is 8949440388737. The reversal of 8949440388735 is 5378830449498.

8949440388735 is a `hidden beast` number, since 8 + 9 + 49 + 440 + 38 + 87 + 35 = 666.

It is not a de Polignac number, because 8949440388735 - 2¹⁰ = 8949440387711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8949440388737) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 667314180 + ... + 667327590.

It is an arithmetic number, because the mean of its divisors is an integer number (69857474960).

Almost surely, 2^{8949440388735} is an apocalyptic number.

8949440388735 is an abundant number, since it is smaller than the sum of its proper divisors (11169512399745).

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

8949440388735 is a wasteful number, since it uses less digits than its factorization.

8949440388735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13727 (or 13695 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 8949440388735 in words is "eight trillion, nine hundred forty-nine billion, four hundred forty million, three hundred eighty-eight thousand, seven hundred thirty-five".