22541023440 has 200 divisors, whose sum is σ = 84310806888. Its totient is φ = 5548538880.

The previous prime is 22541023433. The next prime is 22541023441. The reversal of 22541023440 is 4432014522.

22541023440 is a `hidden beast` number, since 225 + 410 + 23 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 744634944 + 21796388496 = 27288^2 + 147636^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22541023441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49551 + ... + 218030.

Almost surely, 2^22541023440 is an apocalyptic number.

22541023440 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 22541023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42155403444).

22541023440 is an abundant number, since it is smaller than the sum of its proper divisors (61769783448).

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

22541023440 is a wasteful number, since it uses less digits than its factorization.

22541023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267619 (or 267604 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22541023440 its reverse (4432014522), we get a palindrome (26973037962).

The spelling of 22541023440 in words is "twenty-two billion, five hundred forty-one million, twenty-three thousand, four hundred forty".