12328525440 has 1296 divisors, whose sum is σ = 57449500290. Its totient is φ = 2426941440.

The previous prime is 12328525379. The next prime is 12328525483. The reversal of 12328525440 is 4452582321.

12328525440 is a `hidden beast` number, since 1 + 2 + 32 + 85 + 2 + 544 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11095672896 + 1232852544 = 105336^2 + 35112^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12328525395 and 12328525404.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 648869751 + ... + 648869769.

Almost surely, 2^12328525440 is an apocalyptic number.

12328525440 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 12328525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28724750145).

12328525440 is an abundant number, since it is smaller than the sum of its proper divisors (45120974850).

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

12328525440 is a wasteful number, since it uses less digits than its factorization.

12328525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 12328525440 in words is "twelve billion, three hundred twenty-eight million, five hundred twenty-five thousand, four hundred forty".