5441644800 has 324 divisors, whose sum is σ = 20181434000. Its totient is φ = 1450690560.

The previous prime is 5441644781. The next prime is 5441644811. The reversal of 5441644800 is 84461445.

It is a happy number.

5441644800 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 644 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×5441644800² = 59222996258734080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 1553451 + ... + 1556949.

Almost surely, 2^5441644800 is an apocalyptic number.

5441644800 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 5441644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090717000).

5441644800 is an abundant number, since it is smaller than the sum of its proper divisors (14739789200).

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

5441644800 is an equidigital number, since it uses as much as digits as its factorization.

5441644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5441644800 is about 73767.5050411765. The cubic root of 5441644800 is about 1758.9091035864.

The spelling of 5441644800 in words is "five billion, four hundred forty-one million, six hundred forty-four thousand, eight hundred".