441749107244160 has 128 divisors (see below), whose sum is σ = 1564528088217600. Its totient is φ = 117799761927168.

The previous prime is 441749107244153. The next prime is 441749107244219. The reversal of 441749107244160 is 61442701947144.

It is a happy number.

441749107244160 is a `hidden beast` number, since 4 + 4 + 1 + 74 + 9 + 1 + 0 + 72 + 441 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 441749107244097 and 441749107244106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12782074944 + ... + 12782109503.

It is an arithmetic number, because the mean of its divisors is an integer number (12222875689200).

Almost surely, 2^{441749107244160} is an apocalyptic number.

441749107244160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441749107244160 is an abundant number, since it is smaller than the sum of its proper divisors (1122778980973440).

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

441749107244160 is a wasteful number, since it uses less digits than its factorization.

441749107244160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25564184475 (or 25564184457 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 441749107244160 in words is "four hundred forty-one trillion, seven hundred forty-nine billion, one hundred seven million, two hundred forty-four thousand, one hundred sixty".