128812991040 has 560 divisors, whose sum is σ = 467353497600. Its totient is φ = 33672941568.

The previous prime is 128812990981. The next prime is 128812991063. The reversal of 128812991040 is 40199218821.

It is a super-2 number, since 2×128812991040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 358810381 + ... + 358810739.

Almost surely, 2^128812991040 is an apocalyptic number.

128812991040 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 128812991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233676748800).

128812991040 is an abundant number, since it is smaller than the sum of its proper divisors (338540506560).

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

128812991040 is a wasteful number, since it uses less digits than its factorization.

128812991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 128812991040 in words is "one hundred twenty-eight billion, eight hundred twelve million, nine hundred ninety-one thousand, forty".