414102314001 has 8 divisors (see below), whose sum is σ = 552277393344. Its totient is φ = 275997722000.

The previous prime is 414102313981. The next prime is 414102314023. The reversal of 414102314001 is 100413201414.

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 414102314001 - 2¹⁹ = 414101789713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414102314201) 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, 17608125 + ... + 17631626.

It is an arithmetic number, because the mean of its divisors is an integer number (69034674168).

Almost surely, 2^414102314001 is an apocalyptic number.

It is an amenable number.

414102314001 is a deficient number, since it is larger than the sum of its proper divisors (138175079343).

414102314001 is a wasteful number, since it uses less digits than its factorization.

414102314001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35243671.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 414102314001 its reverse (100413201414), we get a palindrome (514515515415).

The spelling of 414102314001 in words is "four hundred fourteen billion, one hundred two million, three hundred fourteen thousand, one".