12604144440 has 96 divisors (see below), whose sum is σ = 39528130320. Its totient is φ = 3214953984.

The previous prime is 12604144429. The next prime is 12604144447. The reversal of 12604144440 is 4444140621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12604144398 and 12604144407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12604144447) 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, 35797 + ... + 162756.

Almost surely, 2^12604144440 is an apocalyptic number.

12604144440 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 12604144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19764065160).

12604144440 is an abundant number, since it is smaller than the sum of its proper divisors (26923985880).

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

12604144440 is a wasteful number, since it uses less digits than its factorization.

12604144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198613 (or 198586 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 12604144440 in words is "twelve billion, six hundred four million, one hundred forty-four thousand, four hundred forty".