314444244240420 has 96 divisors (see below), whose sum is σ = 1006224716464128. Its totient is φ = 71872746191232.

The previous prime is 314444244240389. The next prime is 314444244240449. The reversal of 314444244240420 is 24042442444413.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 160426429 + ... + 162374651.

It is an arithmetic number, because the mean of its divisors is an integer number (10481507463168).

Almost surely, 2^{314444244240420} is an apocalyptic number.

314444244240420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314444244240420 is an abundant number, since it is smaller than the sum of its proper divisors (691780472223708).

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

314444244240420 is a wasteful number, since it uses less digits than its factorization.

314444244240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332529 (or 2332527 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 42.

Adding to 314444244240420 its reverse (24042442444413), we get a palindrome (338486686684833).

The spelling of 314444244240420 in words is "three hundred fourteen trillion, four hundred forty-four billion, two hundred forty-four million, two hundred forty thousand, four hundred twenty".