1140143720832 has 256 divisors, whose sum is σ = 3566652523200. Its totient is φ = 357320392704.

The previous prime is 1140143720831. The next prime is 1140143720843. The reversal of 1140143720832 is 2380273410411.

1140143720832 is a `hidden beast` number, since 1 + 1 + 401 + 43 + 7 + 208 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140143720831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59506198 + ... + 59525354.

Almost surely, 2^{1140143720832} is an apocalyptic number.

1140143720832 is a gapful number since it is divisible by the number (12) 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 1140143720832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783326261600).

1140143720832 is an abundant number, since it is smaller than the sum of its proper divisors (2426508802368).

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

1140143720832 is a wasteful number, since it uses less digits than its factorization.

1140143720832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20210 (or 20192 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1140143720832 in words is "one trillion, one hundred forty billion, one hundred forty-three million, seven hundred twenty thousand, eight hundred thirty-two".