1314430444020 has 192 divisors, whose sum is σ = 3859738122240. Its totient is φ = 333592376832.

The previous prime is 1314430444013. The next prime is 1314430444039. The reversal of 1314430444020 is 204440344131.

It is a super-2 number, since 2×1314430444020² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328359339 + ... + 328363341.

It is an arithmetic number, because the mean of its divisors is an integer number (20102802720).

Almost surely, 2^{1314430444020} is an apocalyptic number.

1314430444020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314430444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929869061120).

1314430444020 is an abundant number, since it is smaller than the sum of its proper divisors (2545307678220).

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

1314430444020 is a wasteful number, since it uses less digits than its factorization.

1314430444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5174 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1314430444020 its reverse (204440344131), we get a palindrome (1518870788151).

The spelling of 1314430444020 in words is "one trillion, three hundred fourteen billion, four hundred thirty million, four hundred forty-four thousand, twenty".