128246084366400 has 2016 divisors, whose sum is σ = 620630613098496. Its totient is φ = 24251996160000.

The previous prime is 128246084366381. The next prime is 128246084366401. The reversal of 128246084366400 is 4663480642821.

It is a happy number.

128246084366400 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 460 + 84 + 3 + 66 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is not an unprimeable number, because it can be changed into a prime (128246084366401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1023359745 + ... + 1023485055.

It is an arithmetic number, because the mean of its divisors is an integer number (307852486656).

Almost surely, 2^{128246084366400} is an apocalyptic number.

128246084366400 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 128246084366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310315306549248).

128246084366400 is an abundant number, since it is smaller than the sum of its proper divisors (492384528732096).

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

128246084366400 is a wasteful number, since it uses less digits than its factorization.

128246084366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125441 (or 125423 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 128246084366400 in words is "one hundred twenty-eight trillion, two hundred forty-six billion, eighty-four million, three hundred sixty-six thousand, four hundred".