1139431375680 has 672 divisors, whose sum is σ = 4207293632640. Its totient is φ = 259599237120.

The previous prime is 1139431375651. The next prime is 1139431375721. The reversal of 1139431375680 is 865731349311.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220007331 + ... + 220012509.

It is an arithmetic number, because the mean of its divisors is an integer number (6260853620).

Almost surely, 2^{1139431375680} is an apocalyptic number.

1139431375680 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 1139431375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103646816320).

1139431375680 is an abundant number, since it is smaller than the sum of its proper divisors (3067862256960).

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

1139431375680 is a wasteful number, since it uses less digits than its factorization.

1139431375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 1139431375680 in words is "one trillion, one hundred thirty-nine billion, four hundred thirty-one million, three hundred seventy-five thousand, six hundred eighty".