414200434114000 has 80 divisors (see below), whose sum is σ = 1011260306983680. Its totient is φ = 164071628188800.

The previous prime is 414200434113997. The next prime is 414200434114039. The reversal of 414200434114000 is 411434002414.

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

It is a self number, because there is not a number n which added to its sum of digits gives 414200434114000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005134860 + ... + 1005546859.

It is an arithmetic number, because the mean of its divisors is an integer number (12640753837296).

Almost surely, 2^{414200434114000} is an apocalyptic number.

414200434114000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414200434114000 is an abundant number, since it is smaller than the sum of its proper divisors (597059872869680).

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

414200434114000 is a wasteful number, since it uses less digits than its factorization.

414200434114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010681845 (or 2010681829 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 414200434114000 its reverse (411434002414), we get a palindrome (414611868116414).

The spelling of 414200434114000 in words is "four hundred fourteen trillion, two hundred billion, four hundred thirty-four million, one hundred fourteen thousand".