128040057600 has 1944 divisors, whose sum is σ = 577951914960. Its totient is φ = 24710676480.

The previous prime is 128040057599. The next prime is 128040057601. The reversal of 128040057600 is 6750040821.

It is an interprime number because it is at equal distance from previous prime (128040057599) and next prime (128040057601).

It is a super-2 number, since 2×128040057600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128040057601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4415174386 + ... + 4415174414.

Almost surely, 2^128040057600 is an apocalyptic number.

128040057600 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 128040057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288975957480).

128040057600 is an abundant number, since it is smaller than the sum of its proper divisors (449911857360).

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

128040057600 is a wasteful number, since it uses less digits than its factorization.

128040057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 128040057600 in words is "one hundred twenty-eight billion, forty million, fifty-seven thousand, six hundred".