128331786240 has 1440 divisors, whose sum is σ = 566814568320. Its totient is φ = 27152547840.

The previous prime is 128331786211. The next prime is 128331786257. The reversal of 128331786240 is 42687133821.

128331786240 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 3 + 17 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4139735025 + ... + 4139735055.

It is an arithmetic number, because the mean of its divisors is an integer number (393621228).

Almost surely, 2^128331786240 is an apocalyptic number.

128331786240 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 128331786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283407284160).

128331786240 is an abundant number, since it is smaller than the sum of its proper divisors (438482782080).

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

128331786240 is an equidigital number, since it uses as much as digits as its factorization.

128331786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 128331786240 in words is "one hundred twenty-eight billion, three hundred thirty-one million, seven hundred eighty-six thousand, two hundred forty".