128247935040 has 336 divisors, whose sum is σ = 461684583360. Its totient is φ = 33883453440.

The previous prime is 128247935029. The next prime is 128247935083. The reversal of 128247935040 is 40539742821.

128247935040 is a `hidden beast` number, since 12 + 8 + 2 + 47 + 93 + 504 + 0 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8468275 + ... + 8483405.

It is an arithmetic number, because the mean of its divisors is an integer number (1374061260).

Almost surely, 2^128247935040 is an apocalyptic number.

128247935040 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 128247935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230842291680).

128247935040 is an abundant number, since it is smaller than the sum of its proper divisors (333436648320).

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

128247935040 is a wasteful number, since it uses less digits than its factorization.

128247935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15272 (or 15250 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 128247935040 in words is "one hundred twenty-eight billion, two hundred forty-seven million, nine hundred thirty-five thousand, forty".