414243314000 has 80 divisors (see below), whose sum is σ = 1018060966416. Its totient is φ = 162980928000.

The previous prime is 414243313993. The next prime is 414243314011. The reversal of 414243314000 is 413342414.

It can be written as a sum of positive squares in 8 ways, for example, as 229793679424 + 184449634576 = 479368^2 + 429476^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1575719 + ... + 1819718.

Almost surely, 2^414243314000 is an apocalyptic number.

414243314000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414243314000 is an abundant number, since it is smaller than the sum of its proper divisors (603817652416).

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

414243314000 is a wasteful number, since it uses less digits than its factorization.

414243314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395521 (or 3395505 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 414243314000 its reverse (413342414), we get a palindrome (414656656414).

The spelling of 414243314000 in words is "four hundred fourteen billion, two hundred forty-three million, three hundred fourteen thousand".