5361446400 has 480 divisors, whose sum is σ = 19289622528. Its totient is φ = 1307443200.

The previous prime is 5361446399. The next prime is 5361446413. The reversal of 5361446400 is 46441635.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 28070305 + ... + 28070495.

Almost surely, 2^5361446400 is an apocalyptic number.

5361446400 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 5361446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9644811264).

5361446400 is an abundant number, since it is smaller than the sum of its proper divisors (13928176128).

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

5361446400 is a wasteful number, since it uses less digits than its factorization.

5361446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 5361446400 is about 73221.8983638092. The cubic root of 5361446400 is about 1750.2254294630.

The spelling of 5361446400 in words is "five billion, three hundred sixty-one million, four hundred forty-six thousand, four hundred".