11130642432 has 672 divisors, whose sum is σ = 41835628800. Its totient is φ = 2898395136.

The previous prime is 11130642421. The next prime is 11130642449. The reversal of 11130642432 is 23424603111.

It is a happy number.

11130642432 is a `hidden beast` number, since 1 + 1 + 13 + 0 + 642 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 11130642396 and 11130642405.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140894169 + ... + 140894247.

It is an arithmetic number, because the mean of its divisors is an integer number (62255400).

Almost surely, 2^11130642432 is an apocalyptic number.

11130642432 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 11130642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20917814400).

11130642432 is an abundant number, since it is smaller than the sum of its proper divisors (30704986368).

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

11130642432 is an equidigital number, since it uses as much as digits as its factorization.

11130642432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 104 counting only the distinct ones).

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

The spelling of 11130642432 in words is "eleven billion, one hundred thirty million, six hundred forty-two thousand, four hundred thirty-two".