314024321144020 has 48 divisors (see below), whose sum is σ = 660265516108800. Its totient is φ = 125454682386176.

The previous prime is 314024321144003. The next prime is 314024321144029. The reversal of 314024321144020 is 20441123420413.

It is a happy number.

It is a super-2 number, since 2×314024321144020² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314024321144029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56003784 + ... + 61355296.

It is an arithmetic number, because the mean of its divisors is an integer number (13755531585600).

Almost surely, 2^{314024321144020} is an apocalyptic number.

It is an amenable number.

314024321144020 is an abundant number, since it is smaller than the sum of its proper divisors (346241194964780).

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

314024321144020 is a wasteful number, since it uses less digits than its factorization.

314024321144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355144 (or 5355142 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 314024321144020 its reverse (20441123420413), we get a palindrome (334465444564433).

The spelling of 314024321144020 in words is "three hundred fourteen trillion, twenty-four billion, three hundred twenty-one million, one hundred forty-four thousand, twenty".