4313662832640 has 960 divisors, whose sum is σ = 16340929113600. Its totient is φ = 971086233600.

The previous prime is 4313662832587. The next prime is 4313662832663. The reversal of 4313662832640 is 462382663134.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4313662832640.

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, 6153584290 + ... + 6153584990.

It is an arithmetic number, because the mean of its divisors is an integer number (17021801160).

Almost surely, 2^{4313662832640} is an apocalyptic number.

4313662832640 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 4313662832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8170464556800).

4313662832640 is an abundant number, since it is smaller than the sum of its proper divisors (12027266280960).

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

4313662832640 is an frugal number, since it uses more digits than its factorization.

4313662832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 4313662832640 in words is "four trillion, three hundred thirteen billion, six hundred sixty-two million, eight hundred thirty-two thousand, six hundred forty".