414241303401 has 24 divisors (see below), whose sum is σ = 601790904000. Its totient is φ = 274573980576.

The previous prime is 414241303387. The next prime is 414241303447. The reversal of 414241303401 is 104303142414.

414241303401 is a `hidden beast` number, since 4 + 14 + 241 + 3 + 0 + 3 + 401 = 666.

It is not a de Polignac number, because 414241303401 - 2⁹ = 414241302889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414241303471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2579796 + ... + 2735658.

It is an arithmetic number, because the mean of its divisors is an integer number (25074621000).

Almost surely, 2^414241303401 is an apocalyptic number.

It is an amenable number.

414241303401 is a deficient number, since it is larger than the sum of its proper divisors (187549600599).

414241303401 is a wasteful number, since it uses less digits than its factorization.

414241303401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157565 (or 157562 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414241303401 its reverse (104303142414), we get a palindrome (518544445815).

The spelling of 414241303401 in words is "four hundred fourteen billion, two hundred forty-one million, three hundred three thousand, four hundred one".