344155220400000 has 192 divisors, whose sum is σ = 1142629751234160. Its totient is φ = 91774725120000.

The previous prime is 344155220399927. The next prime is 344155220400053. The reversal of 344155220400000 is 4022551443.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 142198009 + ... + 144598008.

Almost surely, 2^{344155220400000} is an apocalyptic number.

344155220400000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344155220400000 is an abundant number, since it is smaller than the sum of its proper divisors (798474530834160).

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

344155220400000 is an frugal number, since it uses more digits than its factorization.

344155220400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286796059 (or 286796027 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 344155220400000 its reverse (4022551443), we get a palindrome (344159242951443).

The spelling of 344155220400000 in words is "three hundred forty-four trillion, one hundred fifty-five billion, two hundred twenty million, four hundred thousand".