414042304302 has 96 divisors (see below), whose sum is σ = 1012638257280. Its totient is φ = 121111421760.

The previous prime is 414042304301. The next prime is 414042304303. The reversal of 414042304302 is 203403240414.

It is a happy number.

414042304302 is a `hidden beast` number, since 4 + 14 + 0 + 42 + 304 + 302 = 666.

It is an interprime number because it is at equal distance from previous prime (414042304301) and next prime (414042304303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414042304301) 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 47 ways as a sum of consecutive naturals, for example, 37679253 + ... + 37690239.

It is an arithmetic number, because the mean of its divisors is an integer number (10548315180).

Almost surely, 2^414042304302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414042304302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506319128640).

414042304302 is an abundant number, since it is smaller than the sum of its proper divisors (598595952978).

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

414042304302 is a wasteful number, since it uses less digits than its factorization.

414042304302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17598 (or 17595 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 414042304302 its reverse (203403240414), we get a palindrome (617445544716).

The spelling of 414042304302 in words is "four hundred fourteen billion, forty-two million, three hundred four thousand, three hundred two".