414111645158401 has 16 divisors (see below), whose sum is σ = 439565478105600. Its totient is φ = 389037351333888.

The previous prime is 414111645158357. The next prime is 414111645158441. The reversal of 414111645158401 is 104851546111414.

It is a cyclic number.

It is not a de Polignac number, because 414111645158401 - 2²⁹ = 414111108287489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414111645158441) 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 15 ways as a sum of consecutive naturals, for example, 189060886 + ... + 191238703.

It is an arithmetic number, because the mean of its divisors is an integer number (27472842381600).

Almost surely, 2^{414111645158401} is an apocalyptic number.

It is an amenable number.

414111645158401 is a deficient number, since it is larger than the sum of its proper divisors (25453832947199).

414111645158401 is a wasteful number, since it uses less digits than its factorization.

414111645158401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380300088.

The product of its (nonzero) digits is 307200, while the sum is 46.

The spelling of 414111645158401 in words is "four hundred fourteen trillion, one hundred eleven billion, six hundred forty-five million, one hundred fifty-eight thousand, four hundred one".