414233410441001 has 8 divisors (see below), whose sum is σ = 414752682544200. Its totient is φ = 413714222067328.

The previous prime is 414233410440973. The next prime is 414233410441009. The reversal of 414233410441001 is 100144014332414.

It can be written as a sum of positive squares in 4 ways, for example, as 185376421320601 + 228856989120400 = 13615301^2 + 15128020^2 .

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 414233410441001 - 2²² = 414233406246697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414233410441009) 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, 11028686 + ... + 30823671.

It is an arithmetic number, because the mean of its divisors is an integer number (51844085318025).

Almost surely, 2^{414233410441001} is an apocalyptic number.

It is an amenable number.

414233410441001 is a deficient number, since it is larger than the sum of its proper divisors (519272103199).

414233410441001 is a wasteful number, since it uses less digits than its factorization.

414233410441001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41864763.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 414233410441001 its reverse (100144014332414), we get a palindrome (514377424773415).

The spelling of 414233410441001 in words is "four hundred fourteen trillion, two hundred thirty-three billion, four hundred ten million, four hundred forty-one thousand, one".