5644071338400 has 1152 divisors, whose sum is σ = 23118732806400. Its totient is φ = 1316354457600.

The previous prime is 5644071338309. The next prime is 5644071338413. The reversal of 5644071338400 is 48331704465.

5644071338400 is a `hidden beast` number, since 564 + 4 + 0 + 7 + 1 + 3 + 3 + 84 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2156693892 + ... + 2156696508.

It is an arithmetic number, because the mean of its divisors is an integer number (20068344450).

Almost surely, 2^{5644071338400} is an apocalyptic number.

5644071338400 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 5644071338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11559366403200).

5644071338400 is an abundant number, since it is smaller than the sum of its proper divisors (17474661468000).

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

5644071338400 is a wasteful number, since it uses less digits than its factorization.

5644071338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 5644071338400 in words is "five trillion, six hundred forty-four billion, seventy-one million, three hundred thirty-eight thousand, four hundred".