5419444800 has 1008 divisors, whose sum is σ = 23592267776. Its totient is φ = 1064448000.

The previous prime is 5419444783. The next prime is 5419444867. The reversal of 5419444800 is 84449145.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126033579 + ... + 126033621.

Almost surely, 2^5419444800 is an apocalyptic number.

5419444800 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 5419444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796133888).

5419444800 is an abundant number, since it is smaller than the sum of its proper divisors (18172822976).

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

5419444800 is a wasteful number, since it uses less digits than its factorization.

5419444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 5419444800 is about 73616.8784994311. The cubic root of 5419444800 is about 1756.5139329699.

The spelling of 5419444800 in words is "five billion, four hundred nineteen million, four hundred forty-four thousand, eight hundred".