12302434440 has 128 divisors (see below), whose sum is σ = 41060908800. Its totient is φ = 3276426240.

The previous prime is 12302434429. The next prime is 12302434451. The reversal of 12302434440 is 4443420321.

It is a happy number.

12302434440 is a `hidden beast` number, since 12 + 302 + 4 + 344 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12302434429) and next prime (12302434451).

It is a super-2 number, since 2×12302434440² (a number of 21 digits) contains 22 as substring.

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

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, 881920 + ... + 895760.

It is an arithmetic number, because the mean of its divisors is an integer number (320788350).

Almost surely, 2^12302434440 is an apocalyptic number.

12302434440 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 12302434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20530454400).

12302434440 is an abundant number, since it is smaller than the sum of its proper divisors (28758474360).

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

12302434440 is a wasteful number, since it uses less digits than its factorization.

12302434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14684 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12302434440 its reverse (4443420321), we get a palindrome (16745854761).

It can be divided in two parts, 123024 and 34440, that added together give a cube (157464 = 54³).

The spelling of 12302434440 in words is "twelve billion, three hundred two million, four hundred thirty-four thousand, four hundred forty".