23440431122240 has 224 divisors, whose sum is σ = 61104263400576. Its totient is φ = 8494096343040.

The previous prime is 23440431122201. The next prime is 23440431122257. The reversal of 23440431122240 is 4222113404432.

It is a happy number.

It is a super-2 number, since 2×23440431122240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 23440431122197 and 23440431122206.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1802687579 + ... + 1802700581.

Almost surely, 2^{23440431122240} is an apocalyptic number.

23440431122240 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 23440431122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30552131700288).

23440431122240 is an abundant number, since it is smaller than the sum of its proper divisors (37663832278336).

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

23440431122240 is a wasteful number, since it uses less digits than its factorization.

23440431122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14777 (or 14767 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 23440431122240 its reverse (4222113404432), we get a palindrome (27662544526672).

The spelling of 23440431122240 in words is "twenty-three trillion, four hundred forty billion, four hundred thirty-one million, one hundred twenty-two thousand, two hundred forty".