5449118400 has 336 divisors, whose sum is σ = 21671767680. Its totient is φ = 1320883200.

The previous prime is 5449118321. The next prime is 5449118413. The reversal of 5449118400 is 48119445.

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

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, 469467 + ... + 480933.

Almost surely, 2^5449118400 is an apocalyptic number.

5449118400 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 5449118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10835883840).

5449118400 is an abundant number, since it is smaller than the sum of its proper divisors (16222649280).

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

5449118400 is a wasteful number, since it uses less digits than its factorization.

5449118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11509 (or 11488 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5449118400 is about 73818.1441110517. The cubic root of 5449118400 is about 1759.7139686689.

The spelling of 5449118400 in words is "five billion, four hundred forty-nine million, one hundred eighteen thousand, four hundred".