22641532324440 has 128 divisors (see below), whose sum is σ = 69080287276800. Its totient is φ = 5935027043840.

The previous prime is 22641532324423. The next prime is 22641532324507. The reversal of 22641532324440 is 4442323514622.

It is a super-2 number, since 2×22641532324440² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22641532324392 and 22641532324401.

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 31 ways as a sum of consecutive naturals, for example, 120414739 + ... + 120602621.

It is an arithmetic number, because the mean of its divisors is an integer number (539689744350).

Almost surely, 2^{22641532324440} is an apocalyptic number.

22641532324440 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 22641532324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34540143638400).

22641532324440 is an abundant number, since it is smaller than the sum of its proper divisors (46438754952360).

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

22641532324440 is a wasteful number, since it uses less digits than its factorization.

22641532324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204977 (or 204973 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 22641532324440 in words is "twenty-two trillion, six hundred forty-one billion, five hundred thirty-two million, three hundred twenty-four thousand, four hundred forty".