34442420211420 has 96 divisors (see below), whose sum is σ = 105319920867840. Its totient is φ = 8358723851520.

The previous prime is 34442420211383. The next prime is 34442420211431. The reversal of 34442420211420 is 2411202424443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310909050 + ... + 311019809.

It is an arithmetic number, because the mean of its divisors is an integer number (1097082509040).

Almost surely, 2^{34442420211420} is an apocalyptic number.

34442420211420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34442420211420 is an abundant number, since it is smaller than the sum of its proper divisors (70877500656420).

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

34442420211420 is a wasteful number, since it uses less digits than its factorization.

34442420211420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621928955 (or 621928953 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 34442420211420 its reverse (2411202424443), we get a palindrome (36853622635863).

The spelling of 34442420211420 in words is "thirty-four trillion, four hundred forty-two billion, four hundred twenty million, two hundred eleven thousand, four hundred twenty".