4400731275264 has 315 divisors, whose sum is σ = 13217529555867. Its totient is φ = 1464493768704.

The previous prime is 4400731275253. The next prime is 4400731275277. The reversal of 4400731275264 is 4625721370044.

The square root of 4400731275264 is 2097792.

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

4400731275264 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 7 + 312 + 75 + 264 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7249968849 + ... + 7249969455.

Almost surely, 2^{4400731275264} is an apocalyptic number.

4400731275264 is the 2097792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400731275264

4400731275264 is an abundant number, since it is smaller than the sum of its proper divisors (8816798280603).

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

4400731275264 is an frugal number, since it uses more digits than its factorization.

4400731275264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 4400731275264 in words is "four trillion, four hundred billion, seven hundred thirty-one million, two hundred seventy-five thousand, two hundred sixty-four".