128140798409856 has 96 divisors (see below), whose sum is σ = 378704400831900. Its totient is φ = 41559177848832.

The previous prime is 128140798409839. The next prime is 128140798409857. The reversal of 128140798409856 is 658904897041821.

128140798409856 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 407 + 9 + 84 + 0 + 98 + 56 = 666.

128140798409856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 121330577480256 + 6810220929600 = 11015016^2 + 2609640^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (128140798409857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1503110511 + ... + 1503195758.

Almost surely, 2^{128140798409856} is an apocalyptic number.

128140798409856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

128140798409856 is an abundant number, since it is smaller than the sum of its proper divisors (250563602422044).

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

128140798409856 is a wasteful number, since it uses less digits than its factorization.

128140798409856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006306326 (or 3006306311 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 128140798409856 in words is "one hundred twenty-eight trillion, one hundred forty billion, seven hundred ninety-eight million, four hundred nine thousand, eight hundred fifty-six".