5441884800 has 384 divisors, whose sum is σ = 20239329600. Its totient is φ = 1273036800.

The previous prime is 5441884759. The next prime is 5441884831. The reversal of 5441884800 is 84881445.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5441884800² = 59228220352942080000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3061512 + ... + 3063288.

Almost surely, 2^5441884800 is an apocalyptic number.

5441884800 is a gapful number since it is divisible by the number (50) 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 5441884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10119664800).

5441884800 is an abundant number, since it is smaller than the sum of its proper divisors (14797444800).

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

5441884800 is a wasteful number, since it uses less digits than its factorization.

5441884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The square root of 5441884800 is about 73769.1317557690. The cubic root of 5441884800 is about 1758.9349616982.

The spelling of 5441884800 in words is "five billion, four hundred forty-one million, eight hundred eighty-four thousand, eight hundred".