12864349440 has 216 divisors, whose sum is σ = 45713777928. Its totient is φ = 3337666560.

The previous prime is 12864349411. The next prime is 12864349447. The reversal of 12864349440 is 4494346821.

12864349440 is a `hidden beast` number, since 1 + 2 + 86 + 43 + 494 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3257213184 + 9607136256 = 57072^2 + 98016^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12864349447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411150 + ... + 441330.

Almost surely, 2^12864349440 is an apocalyptic number.

12864349440 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 12864349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22856888964).

12864349440 is an abundant number, since it is smaller than the sum of its proper divisors (32849428488).

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

12864349440 is a wasteful number, since it uses less digits than its factorization.

12864349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30245 (or 30228 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 12864349440 in words is "twelve billion, eight hundred sixty-four million, three hundred forty-nine thousand, four hundred forty".