44476115040 has 1344 divisors, whose sum is σ = 196727408640. Its totient is φ = 9271480320.

The previous prime is 44476115039. The next prime is 44476115083. The reversal of 44476115040 is 4051167444.

It is a happy number.

44476115040 is a `hidden beast` number, since 4 + 447 + 61 + 150 + 4 + 0 = 666.

44476115040 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 44476114986 and 44476115004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 729116610 + ... + 729116670.

It is an arithmetic number, because the mean of its divisors is an integer number (146374560).

Almost surely, 2^44476115040 is an apocalyptic number.

44476115040 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 44476115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98363704320).

44476115040 is an abundant number, since it is smaller than the sum of its proper divisors (152251293600).

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

44476115040 is a wasteful number, since it uses less digits than its factorization.

44476115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 44476115040 in words is "forty-four billion, four hundred seventy-six million, one hundred fifteen thousand, forty".