11342144400 has 120 divisors (see below), whose sum is σ = 37177784160. Its totient is φ = 2954219520.

The previous prime is 11342144381. The next prime is 11342144413. The reversal of 11342144400 is 444124311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 58305 + ... + 161504.

It is an arithmetic number, because the mean of its divisors is an integer number (309814868).

Almost surely, 2^11342144400 is an apocalyptic number.

11342144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11342144400 is an abundant number, since it is smaller than the sum of its proper divisors (25835639760).

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

11342144400 is a wasteful number, since it uses less digits than its factorization.

11342144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219873 (or 219862 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11342144400 its reverse (444124311), we get a palindrome (11786268711).

The spelling of 11342144400 in words is "eleven billion, three hundred forty-two million, one hundred forty-four thousand, four hundred".