44045384040 has 512 divisors, whose sum is σ = 174418329600. Its totient is φ = 9674588160.

The previous prime is 44045383973. The next prime is 44045384087. The reversal of 44045384040 is 4048354044.

44045384040 is a `hidden beast` number, since 4 + 40 + 4 + 538 + 40 + 40 = 666.

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 = 44045383986 and 44045384004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38200104 + ... + 38201256.

It is an arithmetic number, because the mean of its divisors is an integer number (340660800).

Almost surely, 2^44045384040 is an apocalyptic number.

44045384040 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 44045384040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87209164800).

44045384040 is an abundant number, since it is smaller than the sum of its proper divisors (130372945560).

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

44045384040 is a wasteful number, since it uses less digits than its factorization.

44045384040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 44045384040 in words is "forty-four billion, forty-five million, three hundred eighty-four thousand, forty".