11142140200400 has 240 divisors, whose sum is σ = 30788373465600. Its totient is φ = 3832339392000.

The previous prime is 11142140200393. The next prime is 11142140200439. The reversal of 11142140200400 is 400204124111.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 52645991 + ... + 52857209.

It is an arithmetic number, because the mean of its divisors is an integer number (128284889440).

Almost surely, 2^{11142140200400} is an apocalyptic number.

11142140200400 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 11142140200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15394186732800).

11142140200400 is an abundant number, since it is smaller than the sum of its proper divisors (19646233265200).

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

11142140200400 is a wasteful number, since it uses less digits than its factorization.

11142140200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211898 (or 211887 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11142140200400 its reverse (400204124111), we get a palindrome (11542344324511).

The spelling of 11142140200400 in words is "eleven trillion, one hundred forty-two billion, one hundred forty million, two hundred thousand, four hundred".