128391722400 has 288 divisors, whose sum is σ = 437465000448. Its totient is φ = 32645606400.

The previous prime is 128391722399. The next prime is 128391722401. The reversal of 128391722400 is 4227193821.

It is an interprime number because it is at equal distance from previous prime (128391722399) and next prime (128391722401).

It is not an unprimeable number, because it can be changed into a prime (128391722401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18267687 + ... + 18274713.

It is an arithmetic number, because the mean of its divisors is an integer number (1518975696).

Almost surely, 2^128391722400 is an apocalyptic number.

128391722400 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 128391722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218732500224).

128391722400 is an abundant number, since it is smaller than the sum of its proper divisors (309073278048).

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

128391722400 is a wasteful number, since it uses less digits than its factorization.

128391722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404 (or 7391 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 128391722400 in words is "one hundred twenty-eight billion, three hundred ninety-one million, seven hundred twenty-two thousand, four hundred".