11420431200 has 216 divisors, whose sum is σ = 40531812048. Its totient is φ = 3025751040.

The previous prime is 11420431193. The next prime is 11420431237. The reversal of 11420431200 is 213402411.

11420431200 is a `hidden beast` number, since 1 + 1 + 420 + 43 + 1 + 200 = 666.

11420431200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1125349 + ... + 1135451.

It is an arithmetic number, because the mean of its divisors is an integer number (187647278).

Almost surely, 2^11420431200 is an apocalyptic number.

11420431200 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 11420431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20265906024).

11420431200 is an abundant number, since it is smaller than the sum of its proper divisors (29111380848).

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

11420431200 is a wasteful number, since it uses less digits than its factorization.

11420431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10286 (or 10270 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11420431200 its reverse (213402411), we get a palindrome (11633833611).

The spelling of 11420431200 in words is "eleven billion, four hundred twenty million, four hundred thirty-one thousand, two hundred".