344024252011040 has 96 divisors (see below), whose sum is σ = 841370154796080. Its totient is φ = 132771818389504.

The previous prime is 344024252011021. The next prime is 344024252011043. The reversal of 344024252011040 is 40110252420443.

It can be written as a sum of positive squares in 8 ways, for example, as 307993093271824 + 36031158739216 = 17549732^2 + 6002596^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 344024252010988 and 344024252011006.

It is not an unprimeable number, because it can be changed into a prime (344024252011043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19220789 + ... + 32519028.

Almost surely, 2^{344024252011040} is an apocalyptic number.

It is an amenable number.

344024252011040 is an abundant number, since it is smaller than the sum of its proper divisors (497345902785040).

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

344024252011040 is a wasteful number, since it uses less digits than its factorization.

344024252011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51741294 (or 51741286 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 344024252011040 in words is "three hundred forty-four trillion, twenty-four billion, two hundred fifty-two million, eleven thousand, forty".