414401333201 has 16 divisors (see below), whose sum is σ = 429227139264. Its totient is φ = 399813188544.

The previous prime is 414401333191. The next prime is 414401333207. The reversal of 414401333201 is 102333104414.

It is a happy number.

It is not a de Polignac number, because 414401333201 - 2³⁰ = 413327591377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414401333207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37815215 + ... + 37826171.

It is an arithmetic number, because the mean of its divisors is an integer number (26826696204).

Almost surely, 2^414401333201 is an apocalyptic number.

It is an amenable number.

414401333201 is a deficient number, since it is larger than the sum of its proper divisors (14825806063).

414401333201 is a wasteful number, since it uses less digits than its factorization.

414401333201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21680.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 414401333201 its reverse (102333104414), we get a palindrome (516734437615).

The spelling of 414401333201 in words is "four hundred fourteen billion, four hundred one million, three hundred thirty-three thousand, two hundred one".