1139919984 has 120 divisors (see below), whose sum is σ = 3657563520. Its totient is φ = 324653184.

The previous prime is 1139919947. The next prime is 1139920031. The reversal of 1139919984 is 4899199311.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1139919984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348147 + ... + 351405.

It is an arithmetic number, because the mean of its divisors is an integer number (30479696).

Almost surely, 2^1139919984 is an apocalyptic number.

1139919984 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 1139919984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828781760).

1139919984 is an abundant number, since it is smaller than the sum of its proper divisors (2517643536).

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

1139919984 is a wasteful number, since it uses less digits than its factorization.

1139919984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3618 counting only the distinct ones).

The product of its digits is 629856, while the sum is 54.

The square root of 1139919984 is about 33762.7010767800. The cubic root of 1139919984 is about 1044.6194852480.

The spelling of 1139919984 in words is "one billion, one hundred thirty-nine million, nine hundred nineteen thousand, nine hundred eighty-four".