414638545201 has 16 divisors (see below), whose sum is σ = 437239972800. Its totient is φ = 392642889408.

The previous prime is 414638545177. The next prime is 414638545247. The reversal of 414638545201 is 102545836414.

It is a cyclic number.

It is not a de Polignac number, because 414638545201 - 2³⁵ = 380278806833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414638545001) 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, 20995 + ... + 910888.

It is an arithmetic number, because the mean of its divisors is an integer number (27327498300).

Almost surely, 2^414638545201 is an apocalyptic number.

It is an amenable number.

414638545201 is a deficient number, since it is larger than the sum of its proper divisors (22601427599).

414638545201 is a wasteful number, since it uses less digits than its factorization.

414638545201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932208.

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 414638545201 in words is "four hundred fourteen billion, six hundred thirty-eight million, five hundred forty-five thousand, two hundred one".