44638890117120 has 2304 divisors, whose sum is σ = 182068181568000. Its totient is φ = 10348098748416.

The previous prime is 44638890117119. The next prime is 44638890117169. The reversal of 44638890117120 is 2171109883644.

44638890117120 is a `hidden beast` number, since 4 + 4 + 6 + 388 + 90 + 1 + 171 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

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, 78451476196 + ... + 78451476764.

It is an arithmetic number, because the mean of its divisors is an integer number (79022648250).

Almost surely, 2^{44638890117120} is an apocalyptic number.

44638890117120 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 44638890117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91034090784000).

44638890117120 is an abundant number, since it is smaller than the sum of its proper divisors (137429291450880).

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

44638890117120 is a wasteful number, since it uses less digits than its factorization.

44638890117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 44638890117120 in words is "forty-four trillion, six hundred thirty-eight billion, eight hundred ninety million, one hundred seventeen thousand, one hundred twenty".