1139018400 has 432 divisors, whose sum is σ = 4441653216. Its totient is φ = 272885760.

The previous prime is 1139018383. The next prime is 1139018401. The reversal of 1139018400 is 48109311.

It is not an unprimeable number, because it can be changed into a prime (1139018401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4024659 + ... + 4024941.

Almost surely, 2^1139018400 is an apocalyptic number.

1139018400 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 1139018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220826608).

1139018400 is an abundant number, since it is smaller than the sum of its proper divisors (3302634816).

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

1139018400 is a wasteful number, since it uses less digits than its factorization.

1139018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1139018400 is about 33749.3466603429. The cubic root of 1139018400 is about 1044.3440095902.

The spelling of 1139018400 in words is "one billion, one hundred thirty-nine million, eighteen thousand, four hundred".