414214004253401 has 16 divisors (see below), whose sum is σ = 458534839963200. Its totient is φ = 371042177803200.

The previous prime is 414214004253389. The next prime is 414214004253547. The reversal of 414214004253401 is 104352400412414.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414214004253401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414214004253001) 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, 954109571 + ... + 954543608.

It is an arithmetic number, because the mean of its divisors is an integer number (28658427497700).

Almost surely, 2^{414214004253401} is an apocalyptic number.

It is an amenable number.

414214004253401 is a deficient number, since it is larger than the sum of its proper divisors (44320835709799).

414214004253401 is a wasteful number, since it uses less digits than its factorization.

414214004253401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908653480.

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 414214004253401 its reverse (104352400412414), we get a palindrome (518566404665815).

The spelling of 414214004253401 in words is "four hundred fourteen trillion, two hundred fourteen billion, four million, two hundred fifty-three thousand, four hundred one".