414012343240 has 64 divisors (see below), whose sum is σ = 948984336000. Its totient is φ = 162511434240.

The previous prime is 414012343229. The next prime is 414012343253. The reversal of 414012343240 is 42343210414.

It is a junction number, because it is equal to n+sod(n) for n = 414012343199 and 414012343208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188685 + ... + 1496995.

It is an arithmetic number, because the mean of its divisors is an integer number (14827880250).

Almost surely, 2^414012343240 is an apocalyptic number.

414012343240 is a gapful number since it is divisible by the number (40) 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 414012343240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474492168000).

414012343240 is an abundant number, since it is smaller than the sum of its proper divisors (534971992760).

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

414012343240 is a wasteful number, since it uses less digits than its factorization.

414012343240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308950 (or 308946 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 414012343240 its reverse (42343210414), we get a palindrome (456355553654).

The spelling of 414012343240 in words is "four hundred fourteen billion, twelve million, three hundred forty-three thousand, two hundred forty".