1130310040032 has 192 divisors, whose sum is σ = 3441315870720. Its totient is φ = 360258624000.

The previous prime is 1130310040019. The next prime is 1130310040061. The reversal of 1130310040032 is 2300400130311.

1130310040032 is a `hidden beast` number, since 1 + 130 + 3 + 100 + 400 + 32 = 666.

It is a super-2 number, since 2×1130310040032² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1130310039987 and 1130310040014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65588857 + ... + 65606087.

It is an arithmetic number, because the mean of its divisors is an integer number (17923520160).

Almost surely, 2^{1130310040032} is an apocalyptic number.

1130310040032 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 1130310040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720657935360).

1130310040032 is an abundant number, since it is smaller than the sum of its proper divisors (2311005830688).

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

1130310040032 is a wasteful number, since it uses less digits than its factorization.

1130310040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20574 (or 20560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1130310040032 its reverse (2300400130311), we get a palindrome (3430710170343).

The spelling of 1130310040032 in words is "one trillion, one hundred thirty billion, three hundred ten million, forty thousand, thirty-two".