414403114433 has 96 divisors (see below), whose sum is σ = 546668559360. Its totient is φ = 310428720000.

The previous prime is 414403114429. The next prime is 414403114439. The reversal of 414403114433 is 334411304414.

It is not a de Polignac number, because 414403114433 - 2² = 414403114429 is a prime.

It is a super-2 number, since 2×414403114433² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414403114433.

It is not an unprimeable number, because it can be changed into a prime (414403114439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 493924628 + ... + 493925466.

It is an arithmetic number, because the mean of its divisors is an integer number (5694464160).

Almost surely, 2^414403114433 is an apocalyptic number.

414403114433 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

414403114433 is a deficient number, since it is larger than the sum of its proper divisors (132265444927).

414403114433 is a wasteful number, since it uses less digits than its factorization.

414403114433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 414403114433 its reverse (334411304414), we get a palindrome (748814418847).

The spelling of 414403114433 in words is "four hundred fourteen billion, four hundred three million, one hundred fourteen thousand, four hundred thirty-three".