22125734440 has 72 divisors (see below), whose sum is σ = 51622401870. Its totient is φ = 8534574720.

The previous prime is 22125734437. The next prime is 22125734459. The reversal of 22125734440 is 4443752122.

It can be written as a sum of positive squares in 3 ways, for example, as 18124159876 + 4001574564 = 134626^2 + 63258^2 .

It is a super-2 number, since 2×22125734440² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22125734396 and 22125734405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27281635 + ... + 27282445.

Almost surely, 2^22125734440 is an apocalyptic number.

22125734440 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 22125734440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25811200935).

22125734440 is an abundant number, since it is smaller than the sum of its proper divisors (29496667430).

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

22125734440 is an frugal number, since it uses more digits than its factorization.

22125734440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The spelling of 22125734440 in words is "twenty-two billion, one hundred twenty-five million, seven hundred thirty-four thousand, four hundred forty".