22142130420340 has 144 divisors (see below), whose sum is σ = 57283281518400. Its totient is φ = 7143594931200.

The previous prime is 22142130420287. The next prime is 22142130420373. The reversal of 22142130420340 is 4302403124122.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 22142130420299 and 22142130420308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84819015 + ... + 85079665.

It is an arithmetic number, because the mean of its divisors is an integer number (397800566100).

Almost surely, 2^{22142130420340} is an apocalyptic number.

22142130420340 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 22142130420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28641640759200).

22142130420340 is an abundant number, since it is smaller than the sum of its proper divisors (35141151098060).

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

22142130420340 is a wasteful number, since it uses less digits than its factorization.

22142130420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265790 (or 265781 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22142130420340 its reverse (4302403124122), we get a palindrome (26444533544462).

The spelling of 22142130420340 in words is "twenty-two trillion, one hundred forty-two billion, one hundred thirty million, four hundred twenty thousand, three hundred forty".