4445774760960 has 1760 divisors, whose sum is σ = 17811017613312. Its totient is φ = 1053455155200.

The previous prime is 4445774760943. The next prime is 4445774761009. The reversal of 4445774760960 is 690674775444.

4445774760960 is a `hidden beast` number, since 4 + 4 + 4 + 5 + 77 + 476 + 0 + 96 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29442216885 + ... + 29442217035.

Almost surely, 2^{4445774760960} is an apocalyptic number.

4445774760960 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 4445774760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905508806656).

4445774760960 is an abundant number, since it is smaller than the sum of its proper divisors (13365242852352).

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

4445774760960 is a wasteful number, since it uses less digits than its factorization.

4445774760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 4445774760960 in words is "four trillion, four hundred forty-five billion, seven hundred seventy-four million, seven hundred sixty thousand, nine hundred sixty".