4382243402880 has 1024 divisors, whose sum is σ = 16478525952000. Its totient is φ = 970095329280.

The previous prime is 4382243402861. The next prime is 4382243402897. The reversal of 4382243402880 is 882043422834.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20768925975 + ... + 20768926185.

It is an arithmetic number, because the mean of its divisors is an integer number (16092310500).

Almost surely, 2^{4382243402880} is an apocalyptic number.

4382243402880 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 4382243402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8239262976000).

4382243402880 is an abundant number, since it is smaller than the sum of its proper divisors (12096282549120).

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

4382243402880 is a wasteful number, since it uses less digits than its factorization.

4382243402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 4382243402880 in words is "four trillion, three hundred eighty-two billion, two hundred forty-three million, four hundred two thousand, eight hundred eighty".