1140391984704 has 224 divisors, whose sum is σ = 3553109683200. Its totient is φ = 315983296512.

The previous prime is 1140391984661. The next prime is 1140391984751. The reversal of 1140391984704 is 4074891930411.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15229147 + ... + 15303845.

It is an arithmetic number, because the mean of its divisors is an integer number (15862096800).

Almost surely, 2^{1140391984704} is an apocalyptic number.

1140391984704 is a gapful number since it is divisible by the number (14) 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 1140391984704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776554841600).

1140391984704 is an abundant number, since it is smaller than the sum of its proper divisors (2412717698496).

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

1140391984704 is a wasteful number, since it uses less digits than its factorization.

1140391984704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75065 (or 75055 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 1140391984704 in words is "one trillion, one hundred forty billion, three hundred ninety-one million, nine hundred eighty-four thousand, seven hundred four".