314021242244010 has 768 divisors, whose sum is σ = 942581549150208. Its totient is φ = 66595273113600.

The previous prime is 314021242244009. The next prime is 314021242244027. The reversal of 314021242244010 is 10442242120413.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 383 ways as a sum of consecutive naturals, for example, 196631960532 + ... + 196631962128.

It is an arithmetic number, because the mean of its divisors is an integer number (1227319725456).

Almost surely, 2^{314021242244010} is an apocalyptic number.

314021242244010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314021242244010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471290774575104).

314021242244010 is an abundant number, since it is smaller than the sum of its proper divisors (628560306906198).

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

314021242244010 is a wasteful number, since it uses less digits than its factorization.

314021242244010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 314021242244010 its reverse (10442242120413), we get a palindrome (324463484364423).

The spelling of 314021242244010 in words is "three hundred fourteen trillion, twenty-one billion, two hundred forty-two million, two hundred forty-four thousand, ten".