12404350273392 has 1120 divisors, whose sum is σ = 47012229881856. Its totient is φ = 3073034764800.

The previous prime is 12404350273387. The next prime is 12404350273411. The reversal of 12404350273392 is 29337205340421.

12404350273392 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 43 + 502 + 73 + 39 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10142558893 + ... + 10142560115.

Almost surely, 2^{12404350273392} is an apocalyptic number.

12404350273392 is a gapful number since it is divisible by the number (12) 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 12404350273392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23506114940928).

12404350273392 is an abundant number, since it is smaller than the sum of its proper divisors (34607879608464).

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

12404350273392 is a wasteful number, since it uses less digits than its factorization.

12404350273392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 12404350273392 in words is "twelve trillion, four hundred four billion, three hundred fifty million, two hundred seventy-three thousand, three hundred ninety-two".