128647000440 has 1024 divisors, whose sum is σ = 538804224000. Its totient is φ = 26642442240.

The previous prime is 128647000379. The next prime is 128647000441. The reversal of 128647000440 is 44000746821.

128647000440 is a `hidden beast` number, since 1 + 2 + 8 + 647 + 0 + 0 + 0 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128647000395 and 128647000404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128647000441) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 743624194 + ... + 743624366.

It is an arithmetic number, because the mean of its divisors is an integer number (526176000).

Almost surely, 2^128647000440 is an apocalyptic number.

128647000440 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 128647000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269402112000).

128647000440 is an abundant number, since it is smaller than the sum of its proper divisors (410157223560).

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

128647000440 is a wasteful number, since it uses less digits than its factorization.

128647000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 128647000440 in words is "one hundred twenty-eight billion, six hundred forty-seven million, four hundred forty", and thus it is an aban number.