22414344440000 has 140 divisors (see below), whose sum is σ = 55588801083288. Its totient is φ = 8964364800000.

The previous prime is 22414344439933. The next prime is 22414344440003. The reversal of 22414344440000 is 4444341422.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (22414344440003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 284800655 + ... + 284879345.

Almost surely, 2^{22414344440000} is an apocalyptic number.

22414344440000 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 22414344440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27794400541644).

22414344440000 is an abundant number, since it is smaller than the sum of its proper divisors (33174456643288).

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

22414344440000 is an frugal number, since it uses more digits than its factorization.

22414344440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85844 (or 85819 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 22414344440000 its reverse (4444341422), we get a palindrome (22418788781422).

The spelling of 22414344440000 in words is "twenty-two trillion, four hundred fourteen billion, three hundred forty-four million, four hundred forty thousand".