18402342940800 has 3456 divisors, whose sum is σ = 84611932704000. Its totient is φ = 3804143616000.

The previous prime is 18402342940781. The next prime is 18402342940811. The reversal of 18402342940800 is 804924320481.

18402342940800 is a `hidden beast` number, since 1 + 8 + 4 + 0 + 234 + 2 + 9 + 408 + 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 431 ways as a sum of consecutive naturals, for example, 121869820725 + ... + 121869820875.

Almost surely, 2^{18402342940800} is an apocalyptic number.

18402342940800 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 18402342940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42305966352000).

18402342940800 is an abundant number, since it is smaller than the sum of its proper divisors (66209589763200).

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

18402342940800 is a wasteful number, since it uses less digits than its factorization.

18402342940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 18402342940800 in words is "eighteen trillion, four hundred two billion, three hundred forty-two million, nine hundred forty thousand, eight hundred".