414827947080200 has 24 divisors (see below), whose sum is σ = 964474976961930. Its totient is φ = 165931178832000.

The previous prime is 414827947080193. The next prime is 414827947080221. The reversal of 414827947080200 is 2080749728414.

It can be written as a sum of positive squares in 3 ways, for example, as 317584405526404 + 97243541553796 = 17820898^2 + 9861214^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1037069867501 + ... + 1037069867900.

Almost surely, 2^{414827947080200} is an apocalyptic number.

414827947080200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414827947080200 is an abundant number, since it is smaller than the sum of its proper divisors (549647029881730).

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

414827947080200 is a wasteful number, since it uses less digits than its factorization.

414827947080200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074139735417 (or 2074139735408 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 56.

The spelling of 414827947080200 in words is "four hundred fourteen trillion, eight hundred twenty-seven billion, nine hundred forty-seven million, eighty thousand, two hundred".