344222215256400 has 120 divisors (see below), whose sum is σ = 1187478380581920. Its totient is φ = 84731622213120.

The previous prime is 344222215256341. The next prime is 344222215256407. The reversal of 344222215256400 is 4652512222443.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344222215256407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11032747710 + ... + 11032778909.

It is an arithmetic number, because the mean of its divisors is an integer number (9895653171516).

Almost surely, 2^{344222215256400} is an apocalyptic number.

344222215256400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344222215256400 is an abundant number, since it is smaller than the sum of its proper divisors (843256165325520).

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

344222215256400 is a wasteful number, since it uses less digits than its factorization.

344222215256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22065526653 (or 22065526642 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 344222215256400 its reverse (4652512222443), we get a palindrome (348874727478843).

The spelling of 344222215256400 in words is "three hundred forty-four trillion, two hundred twenty-two billion, two hundred fifteen million, two hundred fifty-six thousand, four hundred".