44241314459760 has 480 divisors, whose sum is σ = 165926645015040. Its totient is φ = 10473434265600.

The previous prime is 44241314459707. The next prime is 44241314459761. The reversal of 44241314459760 is 6795441314244.

44241314459760 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 1 + 3 + 1 + 44 + 597 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 44241314459697 and 44241314459706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44241314459761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66824277 + ... + 67483083.

It is an arithmetic number, because the mean of its divisors is an integer number (345680510448).

Almost surely, 2^{44241314459760} is an apocalyptic number.

44241314459760 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 44241314459760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82963322507520).

44241314459760 is an abundant number, since it is smaller than the sum of its proper divisors (121685330555280).

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

44241314459760 is a wasteful number, since it uses less digits than its factorization.

44241314459760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659037 (or 659028 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 44241314459760 in words is "forty-four trillion, two hundred forty-one billion, three hundred fourteen million, four hundred fifty-nine thousand, seven hundred sixty".