4382668724640 has 288 divisors, whose sum is σ = 14149353347136. Its totient is φ = 1140287016960.

The previous prime is 4382668724633. The next prime is 4382668724647. The reversal of 4382668724640 is 464278662834.

It is an interprime number because it is at equal distance from previous prime (4382668724633) and next prime (4382668724647).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (4382668724647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1039283812 + ... + 1039288028.

It is an arithmetic number, because the mean of its divisors is an integer number (49129699122).

Almost surely, 2^{4382668724640} is an apocalyptic number.

4382668724640 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 4382668724640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074676673568).

4382668724640 is an abundant number, since it is smaller than the sum of its proper divisors (9766684622496).

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

4382668724640 is a wasteful number, since it uses less digits than its factorization.

4382668724640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 60.

The spelling of 4382668724640 in words is "four trillion, three hundred eighty-two billion, six hundred sixty-eight million, seven hundred twenty-four thousand, six hundred forty".