22040709120 has 240 divisors, whose sum is σ = 79003704780. Its totient is φ = 5877301248.

The previous prime is 22040709091. The next prime is 22040709121. The reversal of 22040709120 is 2190704022.

It can be written as a sum of positive squares in 2 ways, for example, as 19996222464 + 2044486656 = 141408^2 + 45216^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22040709121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 816154 + ... + 842726.

Almost surely, 2^22040709120 is an apocalyptic number.

22040709120 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 22040709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39501852390).

22040709120 is an abundant number, since it is smaller than the sum of its proper divisors (56962995660).

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

22040709120 is an equidigital number, since it uses as much as digits as its factorization.

22040709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26612 (or 26583 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 22040709120 in words is "twenty-two billion, forty million, seven hundred nine thousand, one hundred twenty".