12421315440 has 160 divisors (see below), whose sum is σ = 42844757760. Its totient is φ = 3307689216.

The previous prime is 12421315397. The next prime is 12421315441. The reversal of 12421315440 is 4451312421.

12421315440 is a `hidden beast` number, since 1 + 2 + 4 + 213 + 1 + 5 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12421315441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1696267 + ... + 1703573.

It is an arithmetic number, because the mean of its divisors is an integer number (267779736).

Almost surely, 2^12421315440 is an apocalyptic number.

12421315440 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 12421315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21422378880).

12421315440 is an abundant number, since it is smaller than the sum of its proper divisors (30423442320).

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

12421315440 is a wasteful number, since it uses less digits than its factorization.

12421315440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8116 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12421315440 its reverse (4451312421), we get a palindrome (16872627861).

The spelling of 12421315440 in words is "twelve billion, four hundred twenty-one million, three hundred fifteen thousand, four hundred forty".