128771174400 has 624 divisors, whose sum is σ = 473877527040. Its totient is φ = 30585651200.

The previous prime is 128771174383. The next prime is 128771174429. The reversal of 128771174400 is 4471177821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179097241 + ... + 179097959.

Almost surely, 2^128771174400 is an apocalyptic number.

128771174400 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 128771174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236938763520).

128771174400 is an abundant number, since it is smaller than the sum of its proper divisors (345106352640).

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

128771174400 is a wasteful number, since it uses less digits than its factorization.

128771174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 42.

The spelling of 128771174400 in words is "one hundred twenty-eight billion, seven hundred seventy-one million, one hundred seventy-four thousand, four hundred".