102400200414 has 12 divisors (see below), whose sum is σ = 221867100936. Its totient is φ = 34133400132.

The previous prime is 102400200379. The next prime is 102400200437. The reversal of 102400200414 is 414002004201.

102400200414 is a `hidden beast` number, since 10 + 2 + 40 + 0 + 200 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5688900023 = 102400200414 / (1 + 0 + 2 + 4 + 0 + 0 + 2 + 0 + 0 + 4 + 1 + 4).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2844449994 + ... + 2844450029.

It is an arithmetic number, because the mean of its divisors is an integer number (18488925078).

Almost surely, 2^102400200414 is an apocalyptic number.

102400200414 is an abundant number, since it is smaller than the sum of its proper divisors (119466900522).

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

102400200414 is a wasteful number, since it uses less digits than its factorization.

102400200414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688900031 (or 5688900028 counting only the distinct ones).

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

Adding to 102400200414 its reverse (414002004201), we get a palindrome (516402204615).

The spelling of 102400200414 in words is "one hundred two billion, four hundred million, two hundred thousand, four hundred fourteen".