11130434707392 has 1792 divisors, whose sum is σ = 47051717529600. Its totient is φ = 2482852331520.

The previous prime is 11130434707333. The next prime is 11130434707393. The reversal of 11130434707392 is 29370743403111.

11130434707392 is a `hidden beast` number, since 1 + 1 + 130 + 43 + 470 + 7 + 3 + 9 + 2 = 666.

11130434707392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130434707393) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2617076338 + ... + 2617080590.

It is an arithmetic number, because the mean of its divisors is an integer number (26256538800).

Almost surely, 2^{11130434707392} is an apocalyptic number.

11130434707392 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 11130434707392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23525858764800).

11130434707392 is an abundant number, since it is smaller than the sum of its proper divisors (35921282822208).

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

11130434707392 is a wasteful number, since it uses less digits than its factorization.

11130434707392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 11130434707392 in words is "eleven trillion, one hundred thirty billion, four hundred thirty-four million, seven hundred seven thousand, three hundred ninety-two".