5044401216 has 336 divisors, whose sum is σ = 15936455808. Its totient is φ = 1520640000.

The previous prime is 5044401209. The next prime is 5044401221. The reversal of 5044401216 is 6121044405.

5044401216 = 448³ + 449³ + ... + 495³.

5044401216 is a `hidden beast` number, since 5 + 0 + 4 + 440 + 1 + 216 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5044401216.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20097091 + ... + 20097341.

It is an arithmetic number, because the mean of its divisors is an integer number (47429928).

Almost surely, 2^5044401216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5044401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968227904).

5044401216 is an abundant number, since it is smaller than the sum of its proper divisors (10892054592).

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

5044401216 is a wasteful number, since it uses less digits than its factorization.

5044401216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5044401216 is about 71023.9481865096. The cubic root of 5044401216 is about 1715.0227046381.

The spelling of 5044401216 in words is "five billion, forty-four million, four hundred one thousand, two hundred sixteen".