1318642780032 has 384 divisors, whose sum is σ = 4119746641920. Its totient is φ = 403638681600.

The previous prime is 1318642780031. The next prime is 1318642780051. The reversal of 1318642780032 is 2300872468131.

1318642780032 is a `hidden beast` number, since 1 + 318 + 64 + 278 + 0 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1318642780032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1318642780031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104308432 + ... + 104321072.

It is an arithmetic number, because the mean of its divisors is an integer number (10728506880).

Almost surely, 2^{1318642780032} is an apocalyptic number.

1318642780032 is a gapful number since it is divisible by the number (12) 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 1318642780032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059873320960).

1318642780032 is an abundant number, since it is smaller than the sum of its proper divisors (2801103861888).

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

1318642780032 is a wasteful number, since it uses less digits than its factorization.

1318642780032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12842 (or 12827 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1318642780032 in words is "one trillion, three hundred eighteen billion, six hundred forty-two million, seven hundred eighty thousand, thirty-two".