12441363264 has 336 divisors, whose sum is σ = 40565425600. Its totient is φ = 3736212480.

The previous prime is 12441363241. The next prime is 12441363287. The reversal of 12441363264 is 46236314421.

12441363264 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 13 + 632 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12441363241) and next prime (12441363287).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32826627 + ... + 32827005.

Almost surely, 2^12441363264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12441363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20282712800).

12441363264 is an abundant number, since it is smaller than the sum of its proper divisors (28124062336).

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

12441363264 is a wasteful number, since it uses less digits than its factorization.

12441363264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 552 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 12441363264 its reverse (46236314421), we get a palindrome (58677677685).

The spelling of 12441363264 in words is "twelve billion, four hundred forty-one million, three hundred sixty-three thousand, two hundred sixty-four".