11421388800 has 702 divisors, whose sum is σ = 44979058098. Its totient is φ = 2866544640.

The previous prime is 11421388789. The next prime is 11421388873. The reversal of 11421388800 is 888312411.

It can be written as a sum of positive squares in 3 ways, for example, as 1719926784 + 9701462016 = 41472^2 + 98496^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 671846392 + ... + 671846408.

Almost surely, 2^11421388800 is an apocalyptic number.

11421388800 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 11421388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22489529049).

11421388800 is an abundant number, since it is smaller than the sum of its proper divisors (33557669298).

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

11421388800 is an frugal number, since it uses more digits than its factorization.

11421388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 11421388800 in words is "eleven billion, four hundred twenty-one million, three hundred eighty-eight thousand, eight hundred".