414004300201101 has 8 divisors (see below), whose sum is σ = 552465355366144. Its totient is φ = 275773055918400.

The previous prime is 414004300201087. The next prime is 414004300201169. The reversal of 414004300201101 is 101102003400414.

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

It is not a de Polignac number, because 414004300201101 - 2¹⁷ = 414004300070029 is a prime.

It is a super-2 number, since 2×414004300201101² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414004300208101) 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, 57452716381 + ... + 57452723586.

It is an arithmetic number, because the mean of its divisors is an integer number (69058169420768).

Almost surely, 2^{414004300201101} is an apocalyptic number.

It is an amenable number.

414004300201101 is a deficient number, since it is larger than the sum of its proper divisors (138461055165043).

414004300201101 is a wasteful number, since it uses less digits than its factorization.

414004300201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114905441171.

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

Adding to 414004300201101 its reverse (101102003400414), we get a palindrome (515106303601515).

The spelling of 414004300201101 in words is "four hundred fourteen trillion, four billion, three hundred million, two hundred one thousand, one hundred one".