12414557340 has 240 divisors, whose sum is σ = 39779131392. Its totient is φ = 3240445824.

The previous prime is 12414557333. The next prime is 12414557341. The reversal of 12414557340 is 4375541421.

12414557340 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 45 + 573 + 40 = 666.

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 = 12414557295 and 12414557304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414557341) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17076057 + ... + 17076783.

Almost surely, 2^12414557340 is an apocalyptic number.

12414557340 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 12414557340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19889565696).

12414557340 is an abundant number, since it is smaller than the sum of its proper divisors (27364574052).

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

12414557340 is a wasteful number, since it uses less digits than its factorization.

12414557340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 12414557340 in words is "twelve billion, four hundred fourteen million, five hundred fifty-seven thousand, three hundred forty".