12435203440 has 160 divisors (see below), whose sum is σ = 32687193600. Its totient is φ = 4360412160.

The previous prime is 12435203359. The next prime is 12435203479. The reversal of 12435203440 is 4430253421.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12435203399 and 12435203408.

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, 2749501 + ... + 2754019.

It is an arithmetic number, because the mean of its divisors is an integer number (204294960).

Almost surely, 2^12435203440 is an apocalyptic number.

12435203440 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 12435203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343596800).

12435203440 is an abundant number, since it is smaller than the sum of its proper divisors (20251990160).

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

12435203440 is a wasteful number, since it uses less digits than its factorization.

12435203440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4655 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 12435203440 its reverse (4430253421), we get a palindrome (16865456861).

The spelling of 12435203440 in words is "twelve billion, four hundred thirty-five million, two hundred three thousand, four hundred forty".