18240344277120 has 1280 divisors, whose sum is σ = 76864317235200. Its totient is φ = 4034948235264.

The previous prime is 18240344277091. The next prime is 18240344277137. The reversal of 18240344277120 is 2177244304281.

18240344277120 is a `hidden beast` number, since 1 + 8 + 24 + 0 + 344 + 277 + 12 + 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 159 ways as a sum of consecutive naturals, for example, 2591322561 + ... + 2591329599.

It is an arithmetic number, because the mean of its divisors is an integer number (60050247840).

Almost surely, 2^{18240344277120} is an apocalyptic number.

18240344277120 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 18240344277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38432158617600).

18240344277120 is an abundant number, since it is smaller than the sum of its proper divisors (58623972958080).

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

18240344277120 is a wasteful number, since it uses less digits than its factorization.

18240344277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7307 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 18240344277120 in words is "eighteen trillion, two hundred forty billion, three hundred forty-four million, two hundred seventy-seven thousand, one hundred twenty".