128253378240 has 1008 divisors, whose sum is σ = 510641144832. Its totient is φ = 30474952704.

The previous prime is 128253378199. The next prime is 128253378263. The reversal of 128253378240 is 42873352821.

128253378240 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 533 + 78 + 2 + 40 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1009869057 + ... + 1009869183.

Almost surely, 2^128253378240 is an apocalyptic number.

128253378240 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 128253378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255320572416).

128253378240 is an abundant number, since it is smaller than the sum of its proper divisors (382387766592).

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

128253378240 is an equidigital number, since it uses as much as digits as its factorization.

128253378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 128253378240 in words is "one hundred twenty-eight billion, two hundred fifty-three million, three hundred seventy-eight thousand, two hundred forty".