1130381586432 has 936 divisors, whose sum is σ = 4066779994992. Its totient is φ = 300574310400.

The previous prime is 1130381586413. The next prime is 1130381586437. The reversal of 1130381586432 is 2346851830311.

It is a happy number.

1130381586432 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 38 + 1 + 586 + 4 + 32 = 666.

It is a super-3 number, since 3×1130381586432³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1130381586437) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4022710132 + ... + 4022710412.

It is an arithmetic number, because the mean of its divisors is an integer number (4344850422).

Almost surely, 2^{1130381586432} is an apocalyptic number.

1130381586432 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 1130381586432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033389997496).

1130381586432 is an abundant number, since it is smaller than the sum of its proper divisors (2936398408560).

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

1130381586432 is a wasteful number, since it uses less digits than its factorization.

1130381586432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1130381586432 in words is "one trillion, one hundred thirty billion, three hundred eighty-one million, five hundred eighty-six thousand, four hundred thirty-two".