4315940652800 has 864 divisors, whose sum is σ = 13566181708800. Its totient is φ = 1325316833280.

The previous prime is 4315940652773. The next prime is 4315940652833. The reversal of 4315940652800 is 82560495134.

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 95 ways as a sum of consecutive naturals, for example, 1742405162 + ... + 1742407638.

It is an arithmetic number, because the mean of its divisors is an integer number (15701599200).

Almost surely, 2^{4315940652800} is an apocalyptic number.

4315940652800 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 4315940652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783090854400).

4315940652800 is an abundant number, since it is smaller than the sum of its proper divisors (9250241056000).

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

4315940652800 is a wasteful number, since it uses less digits than its factorization.

4315940652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 4315940652800 in words is "four trillion, three hundred fifteen billion, nine hundred forty million, six hundred fifty-two thousand, eight hundred".