414014241321 has 24 divisors (see below), whose sum is σ = 626472912000. Its totient is φ = 263118596832.

The previous prime is 414014241253. The next prime is 414014241341. The reversal of 414014241321 is 123142410414.

414014241321 is a `hidden beast` number, since 414 + 0 + 1 + 4 + 241 + 3 + 2 + 1 = 666.

It is not a de Polignac number, because 414014241321 - 2²³ = 414005852713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414014241341) 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, 10019011 + ... + 10060248.

It is an arithmetic number, because the mean of its divisors is an integer number (26103038000).

Almost surely, 2^414014241321 is an apocalyptic number.

It is an amenable number.

414014241321 is a deficient number, since it is larger than the sum of its proper divisors (212458670679).

414014241321 is a wasteful number, since it uses less digits than its factorization.

414014241321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20079373 (or 20079370 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 414014241321 its reverse (123142410414), we get a palindrome (537156651735).

The spelling of 414014241321 in words is "four hundred fourteen billion, fourteen million, two hundred forty-one thousand, three hundred twenty-one".