414242202200 has 48 divisors (see below), whose sum is σ = 963201628680. Its totient is φ = 165681653760.

The previous prime is 414242202193. The next prime is 414242202217. The reversal of 414242202200 is 2202242414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2228024 + ... + 2406776.

Almost surely, 2^414242202200 is an apocalyptic number.

414242202200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414242202200 is an abundant number, since it is smaller than the sum of its proper divisors (548959426480).

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

414242202200 is a wasteful number, since it uses less digits than its factorization.

414242202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190356 (or 190347 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 414242202200 its reverse (2202242414), we get a palindrome (416444444614).

The spelling of 414242202200 in words is "four hundred fourteen billion, two hundred forty-two million, two hundred two thousand, two hundred".