1130640431040 has 336 divisors, whose sum is σ = 4035478067712. Its totient is φ = 301316391936.

The previous prime is 1130640431029. The next prime is 1130640431047. The reversal of 1130640431040 is 401340460311.

1130640431040 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 640 + 4 + 3 + 10 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1130640430995 and 1130640431013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130640431047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162281637 + ... + 162288603.

It is an arithmetic number, because the mean of its divisors is an integer number (12010351392).

Almost surely, 2^{1130640431040} is an apocalyptic number.

1130640431040 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 1130640431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017739033856).

1130640431040 is an abundant number, since it is smaller than the sum of its proper divisors (2904837636672).

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

1130640431040 is an equidigital number, since it uses as much as digits as its factorization.

1130640431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9086 (or 9064 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1130640431040 its reverse (401340460311), we get a palindrome (1531980891351).

The spelling of 1130640431040 in words is "one trillion, one hundred thirty billion, six hundred forty million, four hundred thirty-one thousand, forty".