414113204401 has 8 divisors (see below), whose sum is σ = 461346275880. Its totient is φ = 369077020032.

The previous prime is 414113204383. The next prime is 414113204423. The reversal of 414113204401 is 104402311414.

It can be written as a sum of positive squares in 4 ways, for example, as 76383693376 + 337729511025 = 276376^2 + 581145^2 .

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 414113204401 - 2¹⁷ = 414113073329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414113204441) 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, 549221380 + ... + 549222133.

It is an arithmetic number, because the mean of its divisors is an integer number (57668284485).

Almost surely, 2^414113204401 is an apocalyptic number.

It is an amenable number.

414113204401 is a deficient number, since it is larger than the sum of its proper divisors (47233071479).

414113204401 is a wasteful number, since it uses less digits than its factorization.

414113204401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098443555.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 414113204401 its reverse (104402311414), we get a palindrome (518515515815).

The spelling of 414113204401 in words is "four hundred fourteen billion, one hundred thirteen million, two hundred four thousand, four hundred one".