5444801564400 has 1920 divisors, whose sum is σ = 22705869588480. Its totient is φ = 1241572147200.

The previous prime is 5444801564393. The next prime is 5444801564431. The reversal of 5444801564400 is 44651084445.

5444801564400 is a `hidden beast` number, since 5 + 4 + 4 + 4 + 80 + 1 + 564 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16156681032 + ... + 16156681368.

It is an arithmetic number, because the mean of its divisors is an integer number (11825973744).

Almost surely, 2^{5444801564400} is an apocalyptic number.

5444801564400 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 5444801564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11352934794240).

5444801564400 is an abundant number, since it is smaller than the sum of its proper divisors (17261068024080).

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

5444801564400 is a wasteful number, since it uses less digits than its factorization.

5444801564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 5444801564400 in words is "five trillion, four hundred forty-four billion, eight hundred one million, five hundred sixty-four thousand, four hundred".