414034432011 has 16 divisors (see below), whose sum is σ = 619116912000. Its totient is φ = 273443298984.

The previous prime is 414034431961. The next prime is 414034432027. The reversal of 414034432011 is 110234430414.

414034432011 is a `hidden beast` number, since 4 + 14 + 0 + 3 + 443 + 201 + 1 = 666.

It is not a de Polignac number, because 414034432011 - 2¹⁹ = 414033907723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (414034432111) 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, 71654161 + ... + 71659938.

It is an arithmetic number, because the mean of its divisors is an integer number (38694807000).

Almost surely, 2^414034432011 is an apocalyptic number.

414034432011 is a deficient number, since it is larger than the sum of its proper divisors (205082479989).

414034432011 is a wasteful number, since it uses less digits than its factorization.

414034432011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143314215 (or 143314209 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414034432011 its reverse (110234430414), we get a palindrome (524268862425).

The spelling of 414034432011 in words is "four hundred fourteen billion, thirty-four million, four hundred thirty-two thousand, eleven".