414032220121 has 8 divisors (see below), whose sum is σ = 447880321280. Its totient is φ = 380469757392.

The previous prime is 414032220089. The next prime is 414032220127. The reversal of 414032220121 is 121022230414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414032220121 - 2⁵ = 414032220089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414032220092 and 414032220101.

It is not an unprimeable number, because it can be changed into a prime (414032220127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71406591 + ... + 71412388.

It is an arithmetic number, because the mean of its divisors is an integer number (55985040160).

Almost surely, 2^414032220121 is an apocalyptic number.

It is an amenable number.

414032220121 is a deficient number, since it is larger than the sum of its proper divisors (33848101159).

414032220121 is a wasteful number, since it uses less digits than its factorization.

414032220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142819215.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 414032220121 its reverse (121022230414), we get a palindrome (535054450535).

The spelling of 414032220121 in words is "four hundred fourteen billion, thirty-two million, two hundred twenty thousand, one hundred twenty-one".