22414400000 has 120 divisors (see below), whose sum is σ = 55981690380. Its totient is φ = 8965120000.

The previous prime is 22414399979. The next prime is 22414400009. The reversal of 22414400000 is 441422.

It can be written as a sum of positive squares in 6 ways, for example, as 892336384 + 21522063616 = 29872^2 + 146704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22414400009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1592996 + ... + 1607004.

Almost surely, 2^22414400000 is an apocalyptic number.

22414400000 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 22414400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27990845190).

22414400000 is an abundant number, since it is smaller than the sum of its proper divisors (33567290380).

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

22414400000 is an frugal number, since it uses more digits than its factorization.

22414400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14052 (or 14016 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 22414400000 its reverse (441422), we get a palindrome (22414841422).

The spelling of 22414400000 in words is "twenty-two billion, four hundred fourteen million, four hundred thousand".