1130540427720 has 1152 divisors, whose sum is σ = 4404485030400. Its totient is φ = 250519019520.

The previous prime is 1130540427719. The next prime is 1130540427739. The reversal of 1130540427720 is 277240450311.

1130540427720 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 540 + 42 + 7 + 72 + 0 = 666.

It is a super-3 number, since 3×1130540427720³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4852104724 + ... + 4852104956.

It is an arithmetic number, because the mean of its divisors is an integer number (3823337700).

Almost surely, 2^{1130540427720} is an apocalyptic number.

1130540427720 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 1130540427720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202242515200).

1130540427720 is an abundant number, since it is smaller than the sum of its proper divisors (3273944602680).

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

1130540427720 is a wasteful number, since it uses less digits than its factorization.

1130540427720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 1130540427720 in words is "one trillion, one hundred thirty billion, five hundred forty million, four hundred twenty-seven thousand, seven hundred twenty".