44225803440 has 640 divisors, whose sum is σ = 190187827200. Its totient is φ = 9196830720.

The previous prime is 44225803421. The next prime is 44225803507. The reversal of 44225803440 is 4430852244.

44225803440 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 580 + 34 + 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 = 44225803395 and 44225803404.

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, 13954176 + ... + 13957344.

It is an arithmetic number, because the mean of its divisors is an integer number (297168480).

Almost surely, 2^44225803440 is an apocalyptic number.

44225803440 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 44225803440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95093913600).

44225803440 is an abundant number, since it is smaller than the sum of its proper divisors (145962023760).

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

44225803440 is a wasteful number, since it uses less digits than its factorization.

44225803440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3270 counting only the distinct ones).

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

The spelling of 44225803440 in words is "forty-four billion, two hundred twenty-five million, eight hundred three thousand, four hundred forty".