18440768102400 has 2688 divisors, whose sum is σ = 80564097139200. Its totient is φ = 4048551936000.

The previous prime is 18440768102327. The next prime is 18440768102459. The reversal of 18440768102400 is 420186704481.

18440768102400 is a `hidden beast` number, since 1 + 8 + 440 + 7 + 68 + 102 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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, 182581862350 + ... + 182581862450.

Almost surely, 2^{18440768102400} is an apocalyptic number.

18440768102400 is a gapful number since it is divisible by the number (10) 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 18440768102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40282048569600).

18440768102400 is an abundant number, since it is smaller than the sum of its proper divisors (62123329036800).

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

18440768102400 is a wasteful number, since it uses less digits than its factorization.

18440768102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 18440768102400 in words is "eighteen trillion, four hundred forty billion, seven hundred sixty-eight million, one hundred two thousand, four hundred".