414214021221 has 96 divisors (see below), whose sum is σ = 782614038528. Its totient is φ = 188169713280.

The previous prime is 414214021201. The next prime is 414214021241. The reversal of 414214021221 is 122120412414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414214021201) and next prime (414214021241).

It is not a de Polignac number, because 414214021221 - 2⁷ = 414214021093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414214021191 and 414214021200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414214021201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 893040 + ... + 1275126.

It is an arithmetic number, because the mean of its divisors is an integer number (8152229568).

Almost surely, 2^414214021221 is an apocalyptic number.

It is an amenable number.

414214021221 is a deficient number, since it is larger than the sum of its proper divisors (368400017307).

414214021221 is a wasteful number, since it uses less digits than its factorization.

414214021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382159 (or 382140 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 414214021221 its reverse (122120412414), we get a palindrome (536334433635).

The spelling of 414214021221 in words is "four hundred fourteen billion, two hundred fourteen million, twenty-one thousand, two hundred twenty-one".