344463114240 has 1008 divisors, whose sum is σ = 1430319316608. Its totient is φ = 77970014208.

The previous prime is 344463114221. The next prime is 344463114251. The reversal of 344463114240 is 42411364443.

344463114240 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 631 + 14 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 344463114195 and 344463114204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3344302029 + ... + 3344302131.

It is an arithmetic number, because the mean of its divisors is an integer number (1418967576).

Almost surely, 2^344463114240 is an apocalyptic number.

344463114240 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 344463114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715159658304).

344463114240 is an abundant number, since it is smaller than the sum of its proper divisors (1085856202368).

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

344463114240 is an frugal number, since it uses more digits than its factorization.

344463114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 344463114240 its reverse (42411364443), we get a palindrome (386874478683).

The spelling of 344463114240 in words is "three hundred forty-four billion, four hundred sixty-three million, one hundred fourteen thousand, two hundred forty".