414314221202401 has 8 divisors (see below), whose sum is σ = 452468835290304. Its totient is φ = 377057362740240.

The previous prime is 414314221202393. The next prime is 414314221202443. The reversal of 414314221202401 is 104202122413414.

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

It is not a de Polignac number, because 414314221202401 - 2³ = 414314221202393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414314221202461) 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, 224438905471 + ... + 224438907316.

It is an arithmetic number, because the mean of its divisors is an integer number (56558604411288).

Almost surely, 2^{414314221202401} is an apocalyptic number.

It is an amenable number.

414314221202401 is a deficient number, since it is larger than the sum of its proper divisors (38154614087903).

414314221202401 is a wasteful number, since it uses less digits than its factorization.

414314221202401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448877812871.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 414314221202401 its reverse (104202122413414), we get a palindrome (518516343615815).

The spelling of 414314221202401 in words is "four hundred fourteen trillion, three hundred fourteen billion, two hundred twenty-one million, two hundred two thousand, four hundred one".