4214134004401 has 16 divisors (see below), whose sum is σ = 4627939276800. Its totient is φ = 3819477937408.

The previous prime is 4214134004287. The next prime is 4214134004447. The reversal of 4214134004401 is 1044004314124.

It is a cyclic number.

It is not a de Polignac number, because 4214134004401 - 2⁹ = 4214134003889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4214134004401.

It is not an unprimeable number, because it can be changed into a prime (4214134004701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10970371 + ... + 11348008.

It is an arithmetic number, because the mean of its divisors is an integer number (289246204800).

Almost surely, 2^{4214134004401} is an apocalyptic number.

It is an amenable number.

4214134004401 is a deficient number, since it is larger than the sum of its proper divisors (413805272399).

4214134004401 is a wasteful number, since it uses less digits than its factorization.

4214134004401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22318808.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4214134004401 its reverse (1044004314124), we get a palindrome (5258138318525).

The spelling of 4214134004401 in words is "four trillion, two hundred fourteen billion, one hundred thirty-four million, four thousand, four hundred one".