414013201401 has 8 divisors (see below), whose sum is σ = 565481445984. Its totient is φ = 269276878880.

The previous prime is 414013201397. The next prime is 414013201403. The reversal of 414013201401 is 104102310414.

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 414013201401 - 2² = 414013201397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414013201403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1682980371 + ... + 1682980616.

It is an arithmetic number, because the mean of its divisors is an integer number (70685180748).

Almost surely, 2^414013201401 is an apocalyptic number.

414013201401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

414013201401 is a deficient number, since it is larger than the sum of its proper divisors (151468244583).

414013201401 is a wasteful number, since it uses less digits than its factorization.

414013201401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365961031.

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

Adding to 414013201401 its reverse (104102310414), we get a palindrome (518115511815).

The spelling of 414013201401 in words is "four hundred fourteen billion, thirteen million, two hundred one thousand, four hundred one".