4382312820480 has 864 divisors, whose sum is σ = 18579269782080. Its totient is φ = 974585364480.

The previous prime is 4382312820469. The next prime is 4382312820511. The reversal of 4382312820480 is 840282132834.

4382312820480 is a `hidden beast` number, since 4 + 3 + 8 + 23 + 128 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62622310 + ... + 62692250.

It is an arithmetic number, because the mean of its divisors is an integer number (21503784470).

Almost surely, 2^{4382312820480} is an apocalyptic number.

4382312820480 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 4382312820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9289634891040).

4382312820480 is an abundant number, since it is smaller than the sum of its proper divisors (14196956961600).

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

4382312820480 is a wasteful number, since it uses less digits than its factorization.

4382312820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70022 (or 69995 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 4382312820480 in words is "four trillion, three hundred eighty-two billion, three hundred twelve million, eight hundred twenty thousand, four hundred eighty".