12342259440 has 320 divisors, whose sum is σ = 49273989120. Its totient is φ = 2781112320.

The previous prime is 12342259439. The next prime is 12342259453. The reversal of 12342259440 is 4495224321.

It is a happy number.

12342259440 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 22 + 594 + 40 = 666.

It is a super-2 number, since 2×12342259440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12342259395 and 12342259404.

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 63 ways as a sum of consecutive naturals, for example, 1067772 + ... + 1079268.

It is an arithmetic number, because the mean of its divisors is an integer number (153981216).

Almost surely, 2^12342259440 is an apocalyptic number.

12342259440 is a gapful number since it is divisible by the number (10) 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 12342259440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24636994560).

12342259440 is an abundant number, since it is smaller than the sum of its proper divisors (36931729680).

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

12342259440 is a wasteful number, since it uses less digits than its factorization.

12342259440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11597 (or 11585 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12342259440 in words is "twelve billion, three hundred forty-two million, two hundred fifty-nine thousand, four hundred forty".