11142113400 has 576 divisors, whose sum is σ = 42737086080. Its totient is φ = 2577484800.

The previous prime is 11142113377. The next prime is 11142113401. The reversal of 11142113400 is 431124111.

11142113400 is a `hidden beast` number, since 1 + 114 + 211 + 340 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142113401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49084087 + ... + 49084313.

It is an arithmetic number, because the mean of its divisors is an integer number (74196330).

Almost surely, 2^11142113400 is an apocalyptic number.

11142113400 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 11142113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21368543040).

11142113400 is an abundant number, since it is smaller than the sum of its proper divisors (31594972680).

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

11142113400 is a wasteful number, since it uses less digits than its factorization.

11142113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11142113400 its reverse (431124111), we get a palindrome (11573237511).

The spelling of 11142113400 in words is "eleven billion, one hundred forty-two million, one hundred thirteen thousand, four hundred".