128400974496 has 216 divisors, whose sum is σ = 389436121620. Its totient is φ = 41641039872.

The previous prime is 128400974491. The next prime is 128400974503. The reversal of 128400974496 is 694479004821.

128400974496 is a `hidden beast` number, since 1 + 2 + 84 + 0 + 0 + 9 + 74 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102679230096 + 25721744400 = 320436^2 + 160380^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (128400974491) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7759960 + ... + 7776488.

Almost surely, 2^128400974496 is an apocalyptic number.

128400974496 is a gapful number since it is divisible by the number (16) 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 128400974496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194718060810).

128400974496 is an abundant number, since it is smaller than the sum of its proper divisors (261035147124).

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

128400974496 is an frugal number, since it uses more digits than its factorization.

128400974496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16600 (or 16571 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 128400974496 in words is "one hundred twenty-eight billion, four hundred million, nine hundred seventy-four thousand, four hundred ninety-six".