11424012400 has 60 divisors (see below), whose sum is σ = 27482439672. Its totient is φ = 4563569920.

The previous prime is 11424012389. The next prime is 11424012407. The reversal of 11424012400 is 421042411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11424012407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 290727 + ... + 327673.

Almost surely, 2^11424012400 is an apocalyptic number.

11424012400 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 11424012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13741219836).

11424012400 is an abundant number, since it is smaller than the sum of its proper divisors (16058427272).

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

11424012400 is a wasteful number, since it uses less digits than its factorization.

11424012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37738 (or 37727 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11424012400 its reverse (421042411), we get a palindrome (11845054811).

The spelling of 11424012400 in words is "eleven billion, four hundred twenty-four million, twelve thousand, four hundred".