128476407840 has 288 divisors, whose sum is σ = 457256270016. Its totient is φ = 30070763520.

The previous prime is 128476407809. The next prime is 128476407847. The reversal of 128476407840 is 48704674821.

It is not an unprimeable number, because it can be changed into a prime (128476407847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4426014 + ... + 4454946.

It is an arithmetic number, because the mean of its divisors is an integer number (1587695382).

Almost surely, 2^128476407840 is an apocalyptic number.

128476407840 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 128476407840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228628135008).

128476407840 is an abundant number, since it is smaller than the sum of its proper divisors (328779862176).

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

128476407840 is a wasteful number, since it uses less digits than its factorization.

128476407840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29020 (or 28983 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 128476407840 in words is "one hundred twenty-eight billion, four hundred seventy-six million, four hundred seven thousand, eight hundred forty".