11142210400 has 72 divisors (see below), whose sum is σ = 27465210864. Its totient is φ = 4413580800.

The previous prime is 11142210383. The next prime is 11142210449. The reversal of 11142210400 is 401224111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14790 + ... + 150010.

It is an arithmetic number, because the mean of its divisors is an integer number (381461262).

Almost surely, 2^11142210400 is an apocalyptic number.

11142210400 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 11142210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13732605432).

11142210400 is an abundant number, since it is smaller than the sum of its proper divisors (16323000464).

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

11142210400 is a wasteful number, since it uses less digits than its factorization.

11142210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135344 (or 135331 counting only the distinct ones).

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

Adding to 11142210400 its reverse (401224111), we get a palindrome (11543434511).

The spelling of 11142210400 in words is "eleven billion, one hundred forty-two million, two hundred ten thousand, four hundred".