414442341311020 has 72 divisors (see below), whose sum is σ = 965419065903600. Its totient is φ = 149323679176320.

The previous prime is 414442341310997. The next prime is 414442341311051. The reversal of 414442341311020 is 20113143244414.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785319550 + ... + 785847109.

It is an arithmetic number, because the mean of its divisors is an integer number (13408598137550).

Almost surely, 2^{414442341311020} is an apocalyptic number.

It is an amenable number.

414442341311020 is an abundant number, since it is smaller than the sum of its proper divisors (550976724592580).

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

414442341311020 is a wasteful number, since it uses less digits than its factorization.

414442341311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571166799 (or 1571166786 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 414442341311020 its reverse (20113143244414), we get a palindrome (434555484555434).

The spelling of 414442341311020 in words is "four hundred fourteen trillion, four hundred forty-two billion, three hundred forty-one million, three hundred eleven thousand, twenty".