314642205330440 has 128 divisors (see below), whose sum is σ = 780657269736960. Its totient is φ = 113397503192064.

The previous prime is 314642205330403. The next prime is 314642205330461. The reversal of 314642205330440 is 44033502246413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28517762 + ... + 37980878.

It is an arithmetic number, because the mean of its divisors is an integer number (6098884919820).

Almost surely, 2^{314642205330440} 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 314642205330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390328634868480).

314642205330440 is an abundant number, since it is smaller than the sum of its proper divisors (466015064406520).

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

314642205330440 is a wasteful number, since it uses less digits than its factorization.

314642205330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9464671 (or 9464667 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 41.

Adding to 314642205330440 its reverse (44033502246413), we get a palindrome (358675707576853).

The spelling of 314642205330440 in words is "three hundred fourteen trillion, six hundred forty-two billion, two hundred five million, three hundred thirty thousand, four hundred forty".