1139409181440 has 864 divisors, whose sum is σ = 4169876360832. Its totient is φ = 286949376000.

The previous prime is 1139409181439. The next prime is 1139409181447. The reversal of 1139409181440 is 441819049311.

1139409181440 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 40 + 91 + 81 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1139409181447) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2045617642 + ... + 2045618198.

It is an arithmetic number, because the mean of its divisors is an integer number (4826245788).

Almost surely, 2^{1139409181440} is an apocalyptic number.

1139409181440 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 1139409181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084938180416).

1139409181440 is an abundant number, since it is smaller than the sum of its proper divisors (3030467179392).

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

1139409181440 is a wasteful number, since it uses less digits than its factorization.

1139409181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1139409181440 in words is "one trillion, one hundred thirty-nine billion, four hundred nine million, one hundred eighty-one thousand, four hundred forty".