5744406400 has 96 divisors (see below), whose sum is σ = 14807646000. Its totient is φ = 2197831680.

The previous prime is 5744406389. The next prime is 5744406413. The reversal of 5744406400 is 46044475.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34576 + ... + 112624.

Almost surely, 2^5744406400 is an apocalyptic number.

5744406400 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 5744406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7403823000).

5744406400 is an abundant number, since it is smaller than the sum of its proper divisors (9063239600).

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

5744406400 is a wasteful number, since it uses less digits than its factorization.

5744406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78096 (or 78079 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 5744406400 is about 75791.8623600186. The cubic root of 5744406400 is about 1790.9428155346.

The spelling of 5744406400 in words is "five billion, seven hundred forty-four million, four hundred six thousand, four hundred".