44398409416704 has 912 divisors, whose sum is σ = 153892495106400. Its totient is φ = 12613815631872.

The previous prime is 44398409416679. The next prime is 44398409416721. The reversal of 44398409416704 is 40761490489344.

44398409416704 is a `hidden beast` number, since 4 + 43 + 98 + 409 + 41 + 67 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108553568052 + ... + 108553568460.

It is an arithmetic number, because the mean of its divisors is an integer number (168741770950).

Almost surely, 2^{44398409416704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44398409416704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76946247553200).

44398409416704 is an abundant number, since it is smaller than the sum of its proper divisors (109494085689696).

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

44398409416704 is an frugal number, since it uses more digits than its factorization.

44398409416704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 44398409416704 in words is "forty-four trillion, three hundred ninety-eight billion, four hundred nine million, four hundred sixteen thousand, seven hundred four".