344785559040000 has 5200 divisors, whose sum is σ = 1485596290413312. Its totient is φ = 79005155328000.

The previous prime is 344785559039983. The next prime is 344785559040001. The reversal of 344785559040000 is 40955587443.

It is a happy number.

344785559040000 is a `hidden beast` number, since 3 + 4 + 4 + 7 + 8 + 5 + 5 + 590 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344785559040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 4154042879959 + ... + 4154042880041.

Almost surely, 2^{344785559040000} is an apocalyptic number.

344785559040000 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 344785559040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742798145206656).

344785559040000 is an abundant number, since it is smaller than the sum of its proper divisors (1140810731373312).

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

344785559040000 is an equidigital number, since it uses as much as digits as its factorization.

344785559040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 344785559040000 in words is "three hundred forty-four trillion, seven hundred eighty-five billion, five hundred fifty-nine million, forty thousand".