705042240507 has 24 divisors (see below), whose sum is σ = 1176327163440. Its totient is φ = 402163130880.

The previous prime is 705042240481. The next prime is 705042240509.

It is a happy number.

705042240507 is a `hidden beast` number, since 70 + 5 + 0 + 42 + 2 + 40 + 507 = 666.

705042240507 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 705042240507 - 2⁶ = 705042240443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (705042240509) 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 23 ways as a sum of consecutive naturals, for example, 209458282 + ... + 209461647.

It is an arithmetic number, because the mean of its divisors is an integer number (49013631810).

Almost surely, 2^705042240507 is an apocalyptic number.

705042240507 is a deficient number, since it is larger than the sum of its proper divisors (471284922933).

705042240507 is a wasteful number, since it uses less digits than its factorization.

705042240507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418919963 (or 418919960 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

It can be divided in two parts, 705042 and 240507, that added together give a palindrome (945549).

The spelling of 705042240507 in words is "seven hundred five billion, forty-two million, two hundred forty thousand, five hundred seven".