414411044201 has 48 divisors (see below), whose sum is σ = 555372453888. Its totient is φ = 305155620000.

The previous prime is 414411044189. The next prime is 414411044207. The reversal of 414411044201 is 102440114414.

It is not a de Polignac number, because 414411044201 - 2⁶ = 414411044137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414411044207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827576 + ... + 1230326.

It is an arithmetic number, because the mean of its divisors is an integer number (11570259456).

Almost surely, 2^414411044201 is an apocalyptic number.

It is an amenable number.

414411044201 is a deficient number, since it is larger than the sum of its proper divisors (140961409687).

414411044201 is a wasteful number, since it uses less digits than its factorization.

414411044201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402882 (or 402875 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 414411044201 its reverse (102440114414), we get a palindrome (516851158615).

The spelling of 414411044201 in words is "four hundred fourteen billion, four hundred eleven million, forty-four thousand, two hundred one".