128034860800 has 1296 divisors, whose sum is σ = 448191313920. Its totient is φ = 35094528000.

The previous prime is 128034860741. The next prime is 128034860827. The reversal of 128034860800 is 8068430821.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4130156785 + ... + 4130156815.

Almost surely, 2^128034860800 is an apocalyptic number.

128034860800 is a gapful number since it is divisible by the number (10) 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 128034860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224095656960).

128034860800 is an abundant number, since it is smaller than the sum of its proper divisors (320156453120).

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

128034860800 is a wasteful number, since it uses less digits than its factorization.

128034860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 128034860800 in words is "one hundred twenty-eight billion, thirty-four million, eight hundred sixty thousand, eight hundred".