11820431400 has 96 divisors (see below), whose sum is σ = 38236570560. Its totient is φ = 3015063040.

The previous prime is 11820431393. The next prime is 11820431429. The reversal of 11820431400 is 413402811.

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, 414477 + ... + 442076.

It is an arithmetic number, because the mean of its divisors is an integer number (398297610).

Almost surely, 2^11820431400 is an apocalyptic number.

11820431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11820431400 is an abundant number, since it is smaller than the sum of its proper divisors (26416139160).

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

11820431400 is a wasteful number, since it uses less digits than its factorization.

11820431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856595 (or 856586 counting only the distinct ones).

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

The spelling of 11820431400 in words is "eleven billion, eight hundred twenty million, four hundred thirty-one thousand, four hundred".