414141021201 has 48 divisors (see below), whose sum is σ = 587725286400. Its totient is φ = 259086062592.

The previous prime is 414141021199. The next prime is 414141021227. The reversal of 414141021201 is 102120141414.

It is not a de Polignac number, because 414141021201 - 2¹ = 414141021199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414141021241) 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, 184965840 + ... + 184968078.

It is an arithmetic number, because the mean of its divisors is an integer number (12244276800).

Almost surely, 2^414141021201 is an apocalyptic number.

It is an amenable number.

414141021201 is a deficient number, since it is larger than the sum of its proper divisors (173584265199).

414141021201 is a wasteful number, since it uses less digits than its factorization.

414141021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 414141021201 its reverse (102120141414), we get a palindrome (516261162615).

The spelling of 414141021201 in words is "four hundred fourteen billion, one hundred forty-one million, twenty-one thousand, two hundred one".