2414401000200 has 216 divisors, whose sum is σ = 9432178129530. Its totient is φ = 551863065600.

The previous prime is 2414401000189. The next prime is 2414401000211. The reversal of 2414401000200 is 20001044142.

2414401000200 is a `hidden beast` number, since 2 + 414 + 40 + 10 + 0 + 0 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (2414401000189) and next prime (2414401000211).

It can be written as a sum of positive squares in 3 ways, for example, as 1110186751716 + 1304214248484 = 1053654^2 + 1142022^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 13598881 + ... + 13775280.

Almost surely, 2^{2414401000200} is an apocalyptic number.

2414401000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414401000200 is an abundant number, since it is smaller than the sum of its proper divisors (7017777129330).

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

2414401000200 is a wasteful number, since it uses less digits than its factorization.

2414401000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27374197 (or 27374178 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2414401000200 its reverse (20001044142), we get a palindrome (2434402044342).

The spelling of 2414401000200 in words is "two trillion, four hundred fourteen billion, four hundred one million, two hundred", and thus it is an aban number.