128324419776 has 672 divisors, whose sum is σ = 453019607040. Its totient is φ = 35256259584.

The previous prime is 128324419771. The next prime is 128324419807. The reversal of 128324419776 is 677914423821.

128324419776 is a `hidden beast` number, since 12 + 8 + 32 + 441 + 97 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (128324419771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369810835 + ... + 369811181.

It is an arithmetic number, because the mean of its divisors is an integer number (674136320).

Almost surely, 2^128324419776 is an apocalyptic number.

128324419776 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 128324419776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226509803520).

128324419776 is an abundant number, since it is smaller than the sum of its proper divisors (324695187264).

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

128324419776 is an equidigital number, since it uses as much as digits as its factorization.

128324419776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 481 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 128324419776 in words is "one hundred twenty-eight billion, three hundred twenty-four million, four hundred nineteen thousand, seven hundred seventy-six".