414200413003412 has 96 divisors (see below), whose sum is σ = 866758322626560. Its totient is φ = 169336905091200.

The previous prime is 414200413003411. The next prime is 414200413003471. The reversal of 414200413003412 is 214300314002414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414200413003411) 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, 1905566537 + ... + 1905783887.

It is an arithmetic number, because the mean of its divisors is an integer number (9028732527360).

Almost surely, 2^{414200413003412} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414200413003412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433379161313280).

414200413003412 is an abundant number, since it is smaller than the sum of its proper divisors (452557909623148).

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

414200413003412 is a wasteful number, since it uses less digits than its factorization.

414200413003412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225381 (or 225379 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 414200413003412 its reverse (214300314002414), we get a palindrome (628500727005826).

The spelling of 414200413003412 in words is "four hundred fourteen trillion, two hundred billion, four hundred thirteen million, three thousand, four hundred twelve".