414132213011 has 16 divisors (see below), whose sum is σ = 452959706880. Its totient is φ = 375502200480.

The previous prime is 414132212939. The next prime is 414132213023. The reversal of 414132213011 is 110312231414.

It is not a de Polignac number, because 414132213011 - 2³⁰ = 413058471187 is a prime.

It is a super-2 number, since 2×414132213011² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414132213211) 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, 8974580 + ... + 9020606.

It is an arithmetic number, because the mean of its divisors is an integer number (28309981680).

Almost surely, 2^414132213011 is an apocalyptic number.

414132213011 is a deficient number, since it is larger than the sum of its proper divisors (38827493869).

414132213011 is a wasteful number, since it uses less digits than its factorization.

414132213011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48154.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 414132213011 its reverse (110312231414), we get a palindrome (524444444425).

The spelling of 414132213011 in words is "four hundred fourteen billion, one hundred thirty-two million, two hundred thirteen thousand, eleven".