1139054400 has 840 divisors, whose sum is σ = 4939076736. Its totient is φ = 254361600.

The previous prime is 1139054381. The next prime is 1139054419. The reversal of 1139054400 is 44509311.

1139054400 is a `hidden beast` number, since 113 + 9 + 0 + 544 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1139054381) and next prime (1139054419).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 24235177 + ... + 24235223.

Almost surely, 2^1139054400 is an apocalyptic number.

1139054400 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 1139054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469538368).

1139054400 is an abundant number, since it is smaller than the sum of its proper divisors (3800022336).

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

1139054400 is a wasteful number, since it uses less digits than its factorization.

1139054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1139054400 is about 33749.8799997867. The cubic root of 1139054400 is about 1044.3550120430.

The spelling of 1139054400 in words is "one billion, one hundred thirty-nine million, fifty-four thousand, four hundred".