12600444663040 has 216 divisors, whose sum is σ = 32714932047840. Its totient is φ = 4647824842752.

The previous prime is 12600444662963. The next prime is 12600444663049. The reversal of 12600444663040 is 4036644400621.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12600444662984 and 12600444663002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12600444663049) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 220401499 + ... + 220458661.

It is an arithmetic number, because the mean of its divisors is an integer number (151458018740).

Almost surely, 2^{12600444663040} is an apocalyptic number.

12600444663040 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 12600444663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357466023920).

12600444663040 is an abundant number, since it is smaller than the sum of its proper divisors (20114487384800).

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

12600444663040 is a wasteful number, since it uses less digits than its factorization.

12600444663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58229 (or 58202 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 12600444663040 in words is "twelve trillion, six hundred billion, four hundred forty-four million, six hundred sixty-three thousand, forty".