11442112400 has 240 divisors, whose sum is σ = 30023792640. Its totient is φ = 4179302400.

The previous prime is 11442112373. The next prime is 11442112403. The reversal of 11442112400 is 421124411.

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

It is not an unprimeable number, because it can be changed into a prime (11442112403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16900862 + ... + 16901538.

It is an arithmetic number, because the mean of its divisors is an integer number (125099136).

Almost surely, 2^11442112400 is an apocalyptic number.

11442112400 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 11442112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15011896320).

11442112400 is an abundant number, since it is smaller than the sum of its proper divisors (18581680240).

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

11442112400 is a wasteful number, since it uses less digits than its factorization.

11442112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 791 counting only the distinct ones).

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

Adding to 11442112400 its reverse (421124411), we get a palindrome (11863236811).

The spelling of 11442112400 in words is "eleven billion, four hundred forty-two million, one hundred twelve thousand, four hundred".