44120913408 has 480 divisors, whose sum is σ = 154671871200. Its totient is φ = 12335431680.

The previous prime is 44120913391. The next prime is 44120913413. The reversal of 44120913408 is 80431902144.

It is a happy number.

44120913408 is a `hidden beast` number, since 4 + 41 + 209 + 1 + 3 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 21744138 + ... + 21746166.

It is an arithmetic number, because the mean of its divisors is an integer number (322233065).

Almost surely, 2^44120913408 is an apocalyptic number.

44120913408 is a gapful number since it is divisible by the number (48) 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 44120913408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77335935600).

44120913408 is an abundant number, since it is smaller than the sum of its proper divisors (110550957792).

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

44120913408 is a wasteful number, since it uses less digits than its factorization.

44120913408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 44120913408 in words is "forty-four billion, one hundred twenty million, nine hundred thirteen thousand, four hundred eight".