128260322400 has 576 divisors, whose sum is σ = 500142988800. Its totient is φ = 28517529600.

The previous prime is 128260322389. The next prime is 128260322507. The reversal of 128260322400 is 4223062821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30456295 + ... + 30460505.

It is an arithmetic number, because the mean of its divisors is an integer number (868303800).

Almost surely, 2^128260322400 is an apocalyptic number.

128260322400 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 128260322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250071494400).

128260322400 is an abundant number, since it is smaller than the sum of its proper divisors (371882666400).

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

128260322400 is a wasteful number, since it uses less digits than its factorization.

128260322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 128260322400 in words is "one hundred twenty-eight billion, two hundred sixty million, three hundred twenty-two thousand, four hundred".