1139118400 has 336 divisors, whose sum is σ = 3469599360. Its totient is φ = 359424000.

The previous prime is 1139118377. The next prime is 1139118427. The reversal of 1139118400 is 48119311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11278350 + ... + 11278450.

Almost surely, 2^1139118400 is an apocalyptic number.

1139118400 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 1139118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734799680).

1139118400 is an abundant number, since it is smaller than the sum of its proper divisors (2330480960).

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

1139118400 is a wasteful number, since it uses less digits than its factorization.

1139118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 1139118400 is about 33750.8281379880. The cubic root of 1139118400 is about 1044.3745713865.

It can be divided in two parts, 11391 and 18400, that added together give a cube (29791 = 31³).

The spelling of 1139118400 in words is "one billion, one hundred thirty-nine million, one hundred eighteen thousand, four hundred".