414605641201 has 8 divisors (see below), whose sum is σ = 415287233064. Its totient is φ = 413924480640.

The previous prime is 414605641169. The next prime is 414605641231. The reversal of 414605641201 is 102146506414.

It can be written as a sum of positive squares in 4 ways, for example, as 28466438400 + 386139202801 = 168720^2 + 621401^2 .

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 414605641201 - 2⁵ = 414605641169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414605641231) 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, 1845291 + ... + 2057743.

It is an arithmetic number, because the mean of its divisors is an integer number (51910904133).

Almost surely, 2^414605641201 is an apocalyptic number.

It is an amenable number.

414605641201 is a deficient number, since it is larger than the sum of its proper divisors (681591863).

414605641201 is a wasteful number, since it uses less digits than its factorization.

414605641201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215651.

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 414605641201 in words is "four hundred fourteen billion, six hundred five million, six hundred forty-one thousand, two hundred one".