1130340153600 has 972 divisors, whose sum is σ = 4853033552640. Its totient is φ = 250009804800.

The previous prime is 1130340153559. The next prime is 1130340153601. The reversal of 1130340153600 is 63510430311.

1130340153600 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 3 + 4 + 0 + 1 + 53 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (1130340153601) 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 107 ways as a sum of consecutive naturals, for example, 87487941 + ... + 87500859.

Almost surely, 2^{1130340153600} is an apocalyptic number.

1130340153600 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 1130340153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426516776320).

1130340153600 is an abundant number, since it is smaller than the sum of its proper divisors (3722693399040).

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

1130340153600 is a wasteful number, since it uses less digits than its factorization.

1130340153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12996 (or 12967 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1130340153600 its reverse (63510430311), we get a palindrome (1193850583911).

The spelling of 1130340153600 in words is "one trillion, one hundred thirty billion, three hundred forty million, one hundred fifty-three thousand, six hundred".