10414014202401 has 8 divisors (see below), whose sum is σ = 13895082725664. Its totient is φ = 6937810907040.

The previous prime is 10414014202391. The next prime is 10414014202421. The reversal of 10414014202401 is 10420241041401.

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

It is not a de Polignac number, because 10414014202401 - 2³⁹ = 9864258388513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10414014202421) 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, 1216301980 + ... + 1216310541.

It is an arithmetic number, because the mean of its divisors is an integer number (1736885340708).

Almost surely, 2^{10414014202401} is an apocalyptic number.

It is an amenable number.

10414014202401 is a deficient number, since it is larger than the sum of its proper divisors (3481068523263).

10414014202401 is a wasteful number, since it uses less digits than its factorization.

10414014202401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432613951.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10414014202401 its reverse (10420241041401), we get a palindrome (20834255243802).

The spelling of 10414014202401 in words is "ten trillion, four hundred fourteen billion, fourteen million, two hundred two thousand, four hundred one".