5644442840400 has 1440 divisors, whose sum is σ = 25102718600960. Its totient is φ = 1142676357120.

The previous prime is 5644442840389. The next prime is 5644442840447. The reversal of 5644442840400 is 40482444465.

5644442840400 is a `hidden beast` number, since 56 + 44 + 442 + 84 + 0 + 40 + 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 287 ways as a sum of consecutive naturals, for example, 884844411 + ... + 884850789.

Almost surely, 2^{5644442840400} is an apocalyptic number.

5644442840400 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 5644442840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12551359300480).

5644442840400 is an abundant number, since it is smaller than the sum of its proper divisors (19458275760560).

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

5644442840400 is a wasteful number, since it uses less digits than its factorization.

5644442840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6533 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 45.

The spelling of 5644442840400 in words is "five trillion, six hundred forty-four billion, four hundred forty-two million, eight hundred forty thousand, four hundred".