22131411114400 has 144 divisors (see below), whose sum is σ = 61754330594880. Its totient is φ = 7586966937600.

The previous prime is 22131411114361. The next prime is 22131411114403. The reversal of 22131411114400 is 441111413122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22131411114403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45459471 + ... + 45943729.

It is an arithmetic number, because the mean of its divisors is an integer number (428849518020).

Almost surely, 2^{22131411114400} is an apocalyptic number.

22131411114400 is a gapful number since it is divisible by the number (20) 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 22131411114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30877165297440).

22131411114400 is an abundant number, since it is smaller than the sum of its proper divisors (39622919480480).

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

22131411114400 is a wasteful number, since it uses less digits than its factorization.

22131411114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492447 (or 492434 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 22131411114400 its reverse (441111413122), we get a palindrome (22572522527522).

The spelling of 22131411114400 in words is "twenty-two trillion, one hundred thirty-one billion, four hundred eleven million, one hundred fourteen thousand, four hundred".