5444006400 has 720 divisors, whose sum is σ = 22928752704. Its totient is φ = 1207664640.

The previous prime is 5444006387. The next prime is 5444006471. The reversal of 5444006400 is 46004445.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34675122 + ... + 34675278.

Almost surely, 2^5444006400 is an apocalyptic number.

5444006400 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 5444006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11464376352).

5444006400 is an abundant number, since it is smaller than the sum of its proper divisors (17484746304).

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

5444006400 is a wasteful number, since it uses less digits than its factorization.

5444006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 5444006400 is about 73783.5103529237. The cubic root of 5444006400 is about 1759.1635143472.

The spelling of 5444006400 in words is "five billion, four hundred forty-four million, six thousand, four hundred".