128064945254400 has 1872 divisors, whose sum is σ = 585200718685440. Its totient is φ = 25991420313600.

The previous prime is 128064945254377. The next prime is 128064945254429. The reversal of 128064945254400 is 4452549460821.

128064945254400 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 6 + 4 + 94 + 5 + 2 + 544 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3051396616 + ... + 3051438584.

It is an arithmetic number, because the mean of its divisors is an integer number (312607221520).

Almost surely, 2^{128064945254400} is an apocalyptic number.

128064945254400 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 128064945254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292600359342720).

128064945254400 is an abundant number, since it is smaller than the sum of its proper divisors (457135773431040).

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

128064945254400 is a wasteful number, since it uses less digits than its factorization.

128064945254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42070 (or 42040 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 128064945254400 in words is "one hundred twenty-eight trillion, sixty-four billion, nine hundred forty-five million, two hundred fifty-four thousand, four hundred".