128005744381074 has 288 divisors, whose sum is σ = 333636866873856. Its totient is φ = 35339168229120.

The previous prime is 128005744381057. The next prime is 128005744381079. The reversal of 128005744381074 is 470183447500821.

128005744381074 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 0 + 57 + 443 + 81 + 0 + 74 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 128005744381074.

It is not an unprimeable number, because it can be changed into a prime (128005744381079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4388703639 + ... + 4388732805.

It is an arithmetic number, because the mean of its divisors is an integer number (1158461343312).

Almost surely, 2^{128005744381074} is an apocalyptic number.

128005744381074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128005744381074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166818433436928).

128005744381074 is an abundant number, since it is smaller than the sum of its proper divisors (205631122492782).

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

128005744381074 is a wasteful number, since it uses less digits than its factorization.

128005744381074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30150 (or 30140 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 128005744381074 in words is "one hundred twenty-eight trillion, five billion, seven hundred forty-four million, three hundred eighty-one thousand, seventy-four".