128301040576 has 56 divisors (see below), whose sum is σ = 267203005344. Its totient is φ = 61006556160.

The previous prime is 128301040559. The next prime is 128301040579. The reversal of 128301040576 is 675040103821.

It is a super-2 number, since 2×128301040576² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128301040579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2746 + ... + 506566.

Almost surely, 2^128301040576 is an apocalyptic number.

128301040576 is a gapful number since it is divisible by the number (16) 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 128301040576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133601502672).

128301040576 is an abundant number, since it is smaller than the sum of its proper divisors (138901964768).

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

128301040576 is a wasteful number, since it uses less digits than its factorization.

128301040576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504029 (or 504019 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 128301040576 in words is "one hundred twenty-eight billion, three hundred one million, forty thousand, five hundred seventy-six".