128085021480416 has 384 divisors, whose sum is σ = 340874808164352. Its totient is φ = 45752573952000.

The previous prime is 128085021480329. The next prime is 128085021480419. The reversal of 128085021480416 is 614084120580821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128085021480419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2956628036 + ... + 2956671356.

It is an arithmetic number, because the mean of its divisors is an integer number (887694812928).

Almost surely, 2^{128085021480416} is an apocalyptic number.

128085021480416 is a gapful number since it is divisible by the number (16) 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 128085021480416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170437404082176).

128085021480416 is an abundant number, since it is smaller than the sum of its proper divisors (212789786683936).

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

128085021480416 is a wasteful number, since it uses less digits than its factorization.

128085021480416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43986 (or 43978 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 50.

The spelling of 128085021480416 in words is "one hundred twenty-eight trillion, eighty-five billion, twenty-one million, four hundred eighty thousand, four hundred sixteen".