414002121 has 8 divisors (see below), whose sum is σ = 594464640. Its totient is φ = 254770512.

The previous prime is 414002041. The next prime is 414002129. The reversal of 414002121 is 121200414.

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

It is not a de Polignac number, because 414002121 - 2¹⁹ = 413477833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414002121.

It is not an unprimeable number, because it can be changed into a prime (414002129) 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, 5307681 + ... + 5307758.

It is an arithmetic number, because the mean of its divisors is an integer number (74308080).

Almost surely, 2^414002121 is an apocalyptic number.

It is an amenable number.

414002121 is a deficient number, since it is larger than the sum of its proper divisors (180462519).

414002121 is a wasteful number, since it uses less digits than its factorization.

414002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615455.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 414002121 is about 20347.0420700405. The cubic root of 414002121 is about 745.3052641475.

Adding to 414002121 its reverse (121200414), we get a palindrome (535202535).

The spelling of 414002121 in words is "four hundred fourteen million, two thousand, one hundred twenty-one".