4380500880000 has 2880 divisors, whose sum is σ = 19792170478080. Its totient is φ = 909342720000.

The previous prime is 4380500879999. The next prime is 4380500880011. The reversal of 4380500880000 is 880050834.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 82650959974 + ... + 82650960026.

It is an arithmetic number, because the mean of its divisors is an integer number (6872281416).

Almost surely, 2^{4380500880000} is an apocalyptic number.

4380500880000 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 4380500880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9896085239040).

4380500880000 is an abundant number, since it is smaller than the sum of its proper divisors (15411669598080).

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

4380500880000 is a wasteful number, since it uses less digits than its factorization.

4380500880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 4380500880000 in words is "four trillion, three hundred eighty billion, five hundred million, eight hundred eighty thousand".