22431133440 has 288 divisors, whose sum is σ = 82347854400. Its totient is φ = 5775114240.

The previous prime is 22431133381. The next prime is 22431133453. The reversal of 22431133440 is 4433113422.

22431133440 is a `hidden beast` number, since 2 + 2 + 4 + 311 + 3 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×22431133440³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991050 + ... + 1013430.

It is an arithmetic number, because the mean of its divisors is an integer number (285930050).

Almost surely, 2^22431133440 is an apocalyptic number.

22431133440 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 22431133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41173927200).

22431133440 is an abundant number, since it is smaller than the sum of its proper divisors (59916720960).

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

22431133440 is a wasteful number, since it uses less digits than its factorization.

22431133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22440 (or 22420 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22431133440 its reverse (4433113422), we get a palindrome (26864246862).

The spelling of 22431133440 in words is "twenty-two billion, four hundred thirty-one million, one hundred thirty-three thousand, four hundred forty".