11401233960 has 128 divisors (see below), whose sum is σ = 34745967360. Its totient is φ = 2992281600.

The previous prime is 11401233959. The next prime is 11401233979. The reversal of 11401233960 is 6933210411.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 8630100 + ... + 8631420.

It is an arithmetic number, because the mean of its divisors is an integer number (271452870).

Almost surely, 2^11401233960 is an apocalyptic number.

11401233960 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 11401233960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17372983680).

11401233960 is an abundant number, since it is smaller than the sum of its proper divisors (23344733400).

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

11401233960 is a wasteful number, since it uses less digits than its factorization.

11401233960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 11401233960 in words is "eleven billion, four hundred one million, two hundred thirty-three thousand, nine hundred sixty".