12465493440 has 224 divisors, whose sum is σ = 42069715200. Its totient is φ = 3116384256.

The previous prime is 12465493433. The next prime is 12465493499. The reversal of 12465493440 is 4439456421.

It is a junction number, because it is equal to n+sod(n) for n = 12465493392 and 12465493401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4617211 + ... + 4619909.

Almost surely, 2^12465493440 is an apocalyptic number.

12465493440 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 12465493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034857600).

12465493440 is an abundant number, since it is smaller than the sum of its proper divisors (29604221760).

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

12465493440 is a wasteful number, since it uses less digits than its factorization.

12465493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 12465493440 in words is "twelve billion, four hundred sixty-five million, four hundred ninety-three thousand, four hundred forty".