12304771394040 has 384 divisors, whose sum is σ = 41418584064000. Its totient is φ = 3166021748736.

The previous prime is 12304771394039. The next prime is 12304771394087. The reversal of 12304771394040 is 4049317740321.

12304771394040 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 477 + 139 + 4 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 1762100389 + ... + 1762107371.

It is an arithmetic number, because the mean of its divisors is an integer number (107860896000).

Almost surely, 2^{12304771394040} is an apocalyptic number.

12304771394040 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 12304771394040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20709292032000).

12304771394040 is an abundant number, since it is smaller than the sum of its proper divisors (29113812669960).

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

12304771394040 is a wasteful number, since it uses less digits than its factorization.

12304771394040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8411 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 12304771394040 in words is "twelve trillion, three hundred four billion, seven hundred seventy-one million, three hundred ninety-four thousand, forty".