1139494400 has 120 divisors (see below), whose sum is σ = 3080220264. Its totient is φ = 414310400.

The previous prime is 1139494397. The next prime is 1139494441. The reversal of 1139494400 is 44949311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136754 + ... + 144846.

Almost surely, 2^1139494400 is an apocalyptic number.

1139494400 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 1139494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540110132).

1139494400 is an abundant number, since it is smaller than the sum of its proper divisors (1940725864).

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

1139494400 is an equidigital number, since it uses as much as digits as its factorization.

1139494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8132 (or 8111 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 1139494400 is about 33756.3979120996. The cubic root of 1139494400 is about 1044.4894677371.

The spelling of 1139494400 in words is "one billion, one hundred thirty-nine million, four hundred ninety-four thousand, four hundred".