22140705405 has 128 divisors (see below), whose sum is σ = 45117305856. Its totient is φ = 9022464000.

The previous prime is 22140705397. The next prime is 22140705413. The reversal of 22140705405 is 50450704122.

22140705405 = 320² + 321² + ... + 4050².

It is an interprime number because it is at equal distance from previous prime (22140705397) and next prime (22140705413).

It is not a de Polignac number, because 22140705405 - 2³ = 22140705397 is a prime.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5650507 + ... + 5654423.

It is an arithmetic number, because the mean of its divisors is an integer number (352478952).

Almost surely, 2^22140705405 is an apocalyptic number.

It is an amenable number.

22140705405 is an abundant number, since it is smaller than the sum of its proper divisors (22976600451).

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

22140705405 is a wasteful number, since it uses less digits than its factorization.

22140705405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087.

The product of its (nonzero) digits is 11200, while the sum is 30.

The spelling of 22140705405 in words is "twenty-two billion, one hundred forty million, seven hundred five thousand, four hundred five".