1918432200960 has 1296 divisors, whose sum is σ = 7922093175360. Its totient is φ = 440193761280.

The previous prime is 1918432200913. The next prime is 1918432200961. The reversal of 1918432200960 is 690022348191.

1918432200960 is a `hidden beast` number, since 1 + 9 + 1 + 8 + 432 + 200 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is not an unprimeable number, because it can be changed into a prime (1918432200961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1755198174 + ... + 1755199266.

Almost surely, 2^{1918432200960} is an apocalyptic number.

1918432200960 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 1918432200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961046587680).

1918432200960 is an abundant number, since it is smaller than the sum of its proper divisors (6003660974400).

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

1918432200960 is an equidigital number, since it uses as much as digits as its factorization.

1918432200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1918432200960 in words is "one trillion, nine hundred eighteen billion, four hundred thirty-two million, two hundred thousand, nine hundred sixty".