414322521201 has 16 divisors (see below), whose sum is σ = 613841267200. Its totient is φ = 276201458064.

The previous prime is 414322521199. The next prime is 414322521241. The reversal of 414322521201 is 102125223414.

414322521201 is a `hidden beast` number, since 4 + 1 + 432 + 2 + 5 + 21 + 201 = 666.

It is not a de Polignac number, because 414322521201 - 2¹ = 414322521199 is a prime.

It is a super-3 number, since 3×414322521201³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414322521241) 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, 199815 + ... + 931971.

It is an arithmetic number, because the mean of its divisors is an integer number (38365079200).

Almost surely, 2^414322521201 is an apocalyptic number.

It is an amenable number.

414322521201 is a deficient number, since it is larger than the sum of its proper divisors (199518745999).

414322521201 is a wasteful number, since it uses less digits than its factorization.

414322521201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753125 (or 753119 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 414322521201 its reverse (102125223414), we get a palindrome (516447744615).

The spelling of 414322521201 in words is "four hundred fourteen billion, three hundred twenty-two million, five hundred twenty-one thousand, two hundred one".