128630841600 has 216 divisors, whose sum is σ = 434865104352. Its totient is φ = 33464729600.

The previous prime is 128630841571. The next prime is 128630841631. The reversal of 128630841600 is 6148036821.

It is a super-3 number, since 3×128630841600³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705499 + ... + 868901.

It is an arithmetic number, because the mean of its divisors is an integer number (2013264372).

Almost surely, 2^128630841600 is an apocalyptic number.

128630841600 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 128630841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217432552176).

128630841600 is an abundant number, since it is smaller than the sum of its proper divisors (306234262752).

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

128630841600 is a wasteful number, since it uses less digits than its factorization.

128630841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163473 (or 163454 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 128630841600 in words is "one hundred twenty-eight billion, six hundred thirty million, eight hundred forty-one thousand, six hundred".