345140000240000 has 320 divisors, whose sum is σ = 982704791930400. Its totient is φ = 118242508800000.

The previous prime is 345140000239973. The next prime is 345140000240003. The reversal of 345140000240000 is 42000041543.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345140000240003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 728323136 + ... + 728796864.

Almost surely, 2^{345140000240000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345140000240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491352395965200).

345140000240000 is an abundant number, since it is smaller than the sum of its proper divisors (637564791690400).

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

345140000240000 is an equidigital number, since it uses as much as digits as its factorization.

345140000240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475071 (or 475044 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 345140000240000 its reverse (42000041543), we get a palindrome (345182000281543).

The spelling of 345140000240000 in words is "three hundred forty-five trillion, one hundred forty billion, two hundred forty thousand".