11821430400 has 192 divisors, whose sum is σ = 41932420320. Its totient is φ = 2909859840.

The previous prime is 11821430389. The next prime is 11821430473. The reversal of 11821430400 is 403412811.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 77439 + ... + 172161.

Almost surely, 2^11821430400 is an apocalyptic number.

11821430400 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 11821430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966210160).

11821430400 is an abundant number, since it is smaller than the sum of its proper divisors (30110989920).

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

11821430400 is a wasteful number, since it uses less digits than its factorization.

11821430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94763 (or 94746 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 11821430400 in words is "eleven billion, eight hundred twenty-one million, four hundred thirty thousand, four hundred".