5618440396800 has 2016 divisors, whose sum is σ = 25920927811584. Its totient is φ = 1128923136000.

The previous prime is 5618440396787. The next prime is 5618440396813. The reversal of 5618440396800 is 86930448165.

5618440396800 is a `hidden beast` number, since 5 + 61 + 84 + 40 + 396 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5618440396787) and next prime (5618440396813).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 4399717762 + ... + 4399719038.

Almost surely, 2^{5618440396800} is an apocalyptic number.

5618440396800 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 5618440396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960463905792).

5618440396800 is an abundant number, since it is smaller than the sum of its proper divisors (20302487414784).

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

5618440396800 is a wasteful number, since it uses less digits than its factorization.

5618440396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 5618440396800 in words is "five trillion, six hundred eighteen billion, four hundred forty million, three hundred ninety-six thousand, eight hundred".