414034432340 has 24 divisors (see below), whose sum is σ = 872052358632. Its totient is φ = 165122334720.

The previous prime is 414034432337. The next prime is 414034432351. The reversal of 414034432340 is 43234430414.

It can be written as a sum of positive squares in 4 ways, for example, as 101736757444 + 312297674896 = 318962^2 + 558836^2 .

It is a super-2 number, since 2×414034432340² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414034432297 and 414034432306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30707981 + ... + 30721460.

It is an arithmetic number, because the mean of its divisors is an integer number (36335514943).

Almost surely, 2^414034432340 is an apocalyptic number.

It is an amenable number.

414034432340 is an abundant number, since it is smaller than the sum of its proper divisors (458017926292).

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

414034432340 is a wasteful number, since it uses less digits than its factorization.

414034432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61429787 (or 61429785 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 414034432340 its reverse (43234430414), we get a palindrome (457268862754).

The spelling of 414034432340 in words is "four hundred fourteen billion, thirty-four million, four hundred thirty-two thousand, three hundred forty".