4320450013440 has 288 divisors, whose sum is σ = 15264863050752. Its totient is φ = 1032629248000.

The previous prime is 4320450013417. The next prime is 4320450013469. The reversal of 4320450013440 is 443100540234.

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

It is a junction number, because it is equal to n+sod(n) for n = 4320450013398 and 4320450013407.

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, 2278735 + ... + 3719345.

It is an arithmetic number, because the mean of its divisors is an integer number (53002996704).

Almost surely, 2^{4320450013440} is an apocalyptic number.

4320450013440 is a gapful number since it is divisible by the number (40) 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 4320450013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7632431525376).

4320450013440 is an abundant number, since it is smaller than the sum of its proper divisors (10944413037312).

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

4320450013440 is a wasteful number, since it uses less digits than its factorization.

4320450013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440717 (or 1440703 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 4320450013440 its reverse (443100540234), we get a palindrome (4763550553674).

The spelling of 4320450013440 in words is "four trillion, three hundred twenty billion, four hundred fifty million, thirteen thousand, four hundred forty".