1014002304320 has 112 divisors (see below), whose sum is σ = 2482621456896. Its totient is φ = 394246656000.

The previous prime is 1014002304319. The next prime is 1014002304331. The reversal of 1014002304320 is 234032004101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1014002304292 and 1014002304301.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3412925 + ... + 3698115.

It is an arithmetic number, because the mean of its divisors is an integer number (22166263008).

Almost surely, 2^{1014002304320} is an apocalyptic number.

1014002304320 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 1014002304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241310728448).

1014002304320 is an abundant number, since it is smaller than the sum of its proper divisors (1468619152576).

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

1014002304320 is a wasteful number, since it uses less digits than its factorization.

1014002304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285520 (or 285510 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1014002304320 its reverse (234032004101), we get a palindrome (1248034308421).

The spelling of 1014002304320 in words is "one trillion, fourteen billion, two million, three hundred four thousand, three hundred twenty".