12315556189440 has 1152 divisors, whose sum is σ = 51831980928000. Its totient is φ = 2709330591744.

The previous prime is 12315556189429. The next prime is 12315556189463. The reversal of 12315556189440 is 4498165551321.

12315556189440 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 5 + 556 + 1 + 89 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2364281556 + ... + 2364286764.

It is an arithmetic number, because the mean of its divisors is an integer number (44993039000).

Almost surely, 2^{12315556189440} is an apocalyptic number.

12315556189440 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 12315556189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25915990464000).

12315556189440 is an abundant number, since it is smaller than the sum of its proper divisors (39516424738560).

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

12315556189440 is a wasteful number, since it uses less digits than its factorization.

12315556189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 12315556189440 in words is "twelve trillion, three hundred fifteen billion, five hundred fifty-six million, one hundred eighty-nine thousand, four hundred forty".