414434404040 has 64 divisors (see below), whose sum is σ = 951624797760. Its totient is φ = 162397128960.

The previous prime is 414434403979. The next prime is 414434404081. The reversal of 414434404040 is 40404434414.

It is a junction number, because it is equal to n+sod(n) for n = 414434403988 and 414434404006.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57899 + ... + 912261.

It is an arithmetic number, because the mean of its divisors is an integer number (14869137465).

Almost surely, 2^414434404040 is an apocalyptic number.

414434404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414434404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475812398880).

414434404040 is an abundant number, since it is smaller than the sum of its proper divisors (537190393720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414434404040 is a wasteful number, since it uses less digits than its factorization.

414434404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854622 (or 854618 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 414434404040 its reverse (40404434414), we get a palindrome (454838838454).

The spelling of 414434404040 in words is "four hundred fourteen billion, four hundred thirty-four million, four hundred four thousand, forty".