12532861440 has 240 divisors, whose sum is σ = 47351674656. Its totient is φ = 3038208000.

The previous prime is 12532861433. The next prime is 12532861441. The reversal of 12532861440 is 4416823521.

It is a happy number.

12532861440 is a `hidden beast` number, since 1 + 2 + 5 + 32 + 8 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 12532861395 and 12532861404.

It is not an unprimeable number, because it can be changed into a prime (12532861441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228715 + ... + 278165.

Almost surely, 2^12532861440 is an apocalyptic number.

12532861440 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 12532861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23675837328).

12532861440 is an abundant number, since it is smaller than the sum of its proper divisors (34818813216).

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

12532861440 is a wasteful number, since it uses less digits than its factorization.

12532861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49491 (or 49472 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12532861440 in words is "twelve billion, five hundred thirty-two million, eight hundred sixty-one thousand, four hundred forty".