4441279560960 has 1728 divisors, whose sum is σ = 17608963196160. Its totient is φ = 947257344000.

The previous prime is 4441279560937. The next prime is 4441279560997. The reversal of 4441279560960 is 690659721444.

It is a super-2 number, since 2×4441279560960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 4441279560960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15157950574 + ... + 15157950866.

It is an arithmetic number, because the mean of its divisors is an integer number (10190372220).

Almost surely, 2^{4441279560960} is an apocalyptic number.

4441279560960 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 4441279560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8804481598080).

4441279560960 is an abundant number, since it is smaller than the sum of its proper divisors (13167683635200).

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

4441279560960 is a wasteful number, since it uses less digits than its factorization.

4441279560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 4441279560960 in words is "four trillion, four hundred forty-one billion, two hundred seventy-nine million, five hundred sixty thousand, nine hundred sixty".