44919406224 has 800 divisors, whose sum is σ = 170716692480. Its totient is φ = 11202105600.

The previous prime is 44919406223. The next prime is 44919406253. The reversal of 44919406224 is 42260491944.

44919406224 is a `hidden beast` number, since 4 + 4 + 9 + 19 + 4 + 0 + 622 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 44919406224.

It is not an unprimeable number, because it can be changed into a prime (44919406223) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 353696049 + ... + 353696175.

Almost surely, 2^44919406224 is an apocalyptic number.

44919406224 is a gapful number since it is divisible by the number (44) 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 44919406224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85358346240).

44919406224 is an abundant number, since it is smaller than the sum of its proper divisors (125797286256).

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

44919406224 is a wasteful number, since it uses less digits than its factorization.

44919406224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 44919406224 in words is "forty-four billion, nine hundred nineteen million, four hundred six thousand, two hundred twenty-four".