414138146241 has 48 divisors (see below), whose sum is σ = 586940558400. Its totient is φ = 259696195200.

The previous prime is 414138146239. The next prime is 414138146251. The reversal of 414138146241 is 142641831414.

It is not a de Polignac number, because 414138146241 - 2¹ = 414138146239 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414138146241.

It is not an unprimeable number, because it can be changed into a prime (414138146221) 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, 243753210 + ... + 243754908.

It is an arithmetic number, because the mean of its divisors is an integer number (12227928300).

Almost surely, 2^414138146241 is an apocalyptic number.

It is an amenable number.

414138146241 is a deficient number, since it is larger than the sum of its proper divisors (172802412159).

414138146241 is a wasteful number, since it uses less digits than its factorization.

414138146241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3195 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

Adding to 414138146241 its reverse (142641831414), we get a palindrome (556779977655).

The spelling of 414138146241 in words is "four hundred fourteen billion, one hundred thirty-eight million, one hundred forty-six thousand, two hundred forty-one".