44120618920 has 256 divisors, whose sum is σ = 119097423360. Its totient is φ = 14396424192.

The previous prime is 44120618909. The next prime is 44120618921. The reversal of 44120618920 is 2981602144.

44120618920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 44120618920.

It is not an unprimeable number, because it can be changed into a prime (44120618921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171675432 + ... + 171675688.

It is an arithmetic number, because the mean of its divisors is an integer number (465224310).

Almost surely, 2^44120618920 is an apocalyptic number.

44120618920 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 44120618920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59548711680).

44120618920 is an abundant number, since it is smaller than the sum of its proper divisors (74976804440).

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

44120618920 is a wasteful number, since it uses less digits than its factorization.

44120618920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 44120618920 in words is "forty-four billion, one hundred twenty million, six hundred eighteen thousand, nine hundred twenty".