344123124220400 has 60 divisors (see below), whose sum is σ = 944863778224272. Its totient is φ = 117985071160320.

The previous prime is 344123124220363. The next prime is 344123124220429. The reversal of 344123124220400 is 4022421321443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61450555097 + ... + 61450560696.

Almost surely, 2^{344123124220400} is an apocalyptic number.

It is an amenable number.

344123124220400 is an abundant number, since it is smaller than the sum of its proper divisors (600740654003872).

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

344123124220400 is a wasteful number, since it uses less digits than its factorization.

344123124220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122901115818 (or 122901115807 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 344123124220400 its reverse (4022421321443), we get a palindrome (348145545541843).

The spelling of 344123124220400 in words is "three hundred forty-four trillion, one hundred twenty-three billion, one hundred twenty-four million, two hundred twenty thousand, four hundred".