22401540440 has 64 divisors (see below), whose sum is σ = 51639638400. Its totient is φ = 8742066688.

The previous prime is 22401540431. The next prime is 22401540449. The reversal of 22401540440 is 4404510422.

It is an interprime number because it is at equal distance from previous prime (22401540431) and next prime (22401540449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22401540449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 577166 + ... + 614754.

It is an arithmetic number, because the mean of its divisors is an integer number (806869350).

Almost surely, 2^22401540440 is an apocalyptic number.

22401540440 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 22401540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25819819200).

22401540440 is an abundant number, since it is smaller than the sum of its proper divisors (29238097960).

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

22401540440 is a wasteful number, since it uses less digits than its factorization.

22401540440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37964 (or 37960 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The spelling of 22401540440 in words is "twenty-two billion, four hundred one million, five hundred forty thousand, four hundred forty".