4320312414440 has 128 divisors (see below), whose sum is σ = 10748089998720. Its totient is φ = 1549848192000.

The previous prime is 4320312414373. The next prime is 4320312414491. The reversal of 4320312414440 is 444142130234.

It is a junction number, because it is equal to n+sod(n) for n = 4320312414397 and 4320312414406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12134399 + ... + 12485361.

It is an arithmetic number, because the mean of its divisors is an integer number (83969453115).

Almost surely, 2^{4320312414440} is an apocalyptic number.

4320312414440 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 4320312414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374044999360).

4320312414440 is an abundant number, since it is smaller than the sum of its proper divisors (6427777584280).

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

4320312414440 is a wasteful number, since it uses less digits than its factorization.

4320312414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351363 (or 351359 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4320312414440 its reverse (444142130234), we get a palindrome (4764454544674).

The spelling of 4320312414440 in words is "four trillion, three hundred twenty billion, three hundred twelve million, four hundred fourteen thousand, four hundred forty".