11430840960 has 1024 divisors, whose sum is σ = 51607756800. Its totient is φ = 2341785600.

The previous prime is 11430840947. The next prime is 11430840977. The reversal of 11430840960 is 6904803411.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 160997725 + ... + 160997795.

It is an arithmetic number, because the mean of its divisors is an integer number (50398200).

Almost surely, 2^11430840960 is an apocalyptic number.

11430840960 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 11430840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25803878400).

11430840960 is an abundant number, since it is smaller than the sum of its proper divisors (40176915840).

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

11430840960 is an equidigital number, since it uses as much as digits as its factorization.

11430840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11430840960 in words is "eleven billion, four hundred thirty million, eight hundred forty thousand, nine hundred sixty".