11232140400 has 420 divisors, whose sum is σ = 43586278008. Its totient is φ = 2763901440.

The previous prime is 11232140393. The next prime is 11232140473. The reversal of 11232140400 is 404123211.

11232140400 is a `hidden beast` number, since 1 + 123 + 2 + 140 + 400 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3789319 + ... + 3792281.

Almost surely, 2^11232140400 is an apocalyptic number.

11232140400 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 11232140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21793139004).

11232140400 is an abundant number, since it is smaller than the sum of its proper divisors (32354137608).

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

11232140400 is a wasteful number, since it uses less digits than its factorization.

11232140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 2986 counting only the distinct ones).

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

Adding to 11232140400 its reverse (404123211), we get a palindrome (11636263611).

The spelling of 11232140400 in words is "eleven billion, two hundred thirty-two million, one hundred forty thousand, four hundred".