414132214200 has 96 divisors (see below), whose sum is σ = 1284009187200. Its totient is φ = 110418111360.

The previous prime is 414132214193. The next prime is 414132214207. The reversal of 414132214200 is 2412231414.

It is an interprime number because it is at equal distance from previous prime (414132214193) and next prime (414132214207).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414132214207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4079661 + ... + 4179939.

It is an arithmetic number, because the mean of its divisors is an integer number (13375095700).

Almost surely, 2^414132214200 is an apocalyptic number.

414132214200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414132214200 is an abundant number, since it is smaller than the sum of its proper divisors (869876973000).

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

414132214200 is a wasteful number, since it uses less digits than its factorization.

414132214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107181 (or 107172 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414132214200 its reverse (2412231414), we get a palindrome (416544445614).

The spelling of 414132214200 in words is "four hundred fourteen billion, one hundred thirty-two million, two hundred fourteen thousand, two hundred".