11142021400 has 96 divisors (see below), whose sum is σ = 26262537840. Its totient is φ = 4395663360.

The previous prime is 11142021281. The next prime is 11142021403. The reversal of 11142021400 is 412024111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142021403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6847387 + ... + 6849013.

Almost surely, 2^11142021400 is an apocalyptic number.

11142021400 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 11142021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13131268920).

11142021400 is an abundant number, since it is smaller than the sum of its proper divisors (15120516440).

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

11142021400 is a wasteful number, since it uses less digits than its factorization.

11142021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11142021400 its reverse (412024111), we get a palindrome (11554045511).

The spelling of 11142021400 in words is "eleven billion, one hundred forty-two million, twenty-one thousand, four hundred".