344640050066040 has 128 divisors (see below), whose sum is σ = 1041899750496000. Its totient is φ = 91194832834560.

The previous prime is 344640050065999. The next prime is 344640050066159. The reversal of 344640050066040 is 40660050046443.

It is a super-2 number, since 2×344640050066040² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344640050065983 and 344640050066001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188405736 + ... + 190226184.

It is an arithmetic number, because the mean of its divisors is an integer number (8139841800750).

Almost surely, 2^{344640050066040} is an apocalyptic number.

344640050066040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344640050066040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520949875248000).

344640050066040 is an abundant number, since it is smaller than the sum of its proper divisors (697259700429960).

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

344640050066040 is a wasteful number, since it uses less digits than its factorization.

344640050066040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832637 (or 1832633 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 344640050066040 in words is "three hundred forty-four trillion, six hundred forty billion, fifty million, sixty-six thousand, forty".