414401040411 has 32 divisors (see below), whose sum is σ = 570621542400. Its totient is φ = 267371412000.

The previous prime is 414401040359. The next prime is 414401040437. The reversal of 414401040411 is 114040104414.

It is not a de Polignac number, because 414401040411 - 2¹⁰ = 414401039387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414401040611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4877230 + ... + 4961468.

It is an arithmetic number, because the mean of its divisors is an integer number (17831923200).

Almost surely, 2^414401040411 is an apocalyptic number.

414401040411 is a deficient number, since it is larger than the sum of its proper divisors (156220501989).

414401040411 is a wasteful number, since it uses less digits than its factorization.

414401040411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84679.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 414401040411 its reverse (114040104414), we get a palindrome (528441144825).

The spelling of 414401040411 in words is "four hundred fourteen billion, four hundred one million, forty thousand, four hundred eleven".