314541214444240 has 80 divisors (see below), whose sum is σ = 838887933985920. Its totient is φ = 107441799805440.

The previous prime is 314541214444153. The next prime is 314541214444271. The reversal of 314541214444240 is 42444412145413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1043865606 + ... + 1044166885.

It is an arithmetic number, because the mean of its divisors is an integer number (10486099174824).

Almost surely, 2^{314541214444240} is an apocalyptic number.

It is an amenable number.

314541214444240 is an abundant number, since it is smaller than the sum of its proper divisors (524346719541680).

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

314541214444240 is a wasteful number, since it uses less digits than its factorization.

314541214444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088032780 (or 2088032774 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 43.

Adding to 314541214444240 its reverse (42444412145413), we get a palindrome (356985626589653).

The spelling of 314541214444240 in words is "three hundred fourteen trillion, five hundred forty-one billion, two hundred fourteen million, four hundred forty-four thousand, two hundred forty".