12414515440 has 80 divisors (see below), whose sum is σ = 29846661120. Its totient is φ = 4797262080.

The previous prime is 12414515417. The next prime is 12414515441. The reversal of 12414515440 is 4451541421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414515441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1531077 + ... + 1539163.

It is an arithmetic number, because the mean of its divisors is an integer number (373083264).

Almost surely, 2^12414515440 is an apocalyptic number.

12414515440 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 12414515440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923330560).

12414515440 is an abundant number, since it is smaller than the sum of its proper divisors (17432145680).

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

12414515440 is a wasteful number, since it uses less digits than its factorization.

12414515440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8750 (or 8744 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 12414515440 in words is "twelve billion, four hundred fourteen million, five hundred fifteen thousand, four hundred forty".