128255749440 has 672 divisors, whose sum is σ = 520336613376. Its totient is φ = 26180444160.

The previous prime is 128255749429. The next prime is 128255749477. The reversal of 128255749440 is 44947552821.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35204259 + ... + 35207901.

Almost surely, 2^128255749440 is an apocalyptic number.

128255749440 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 128255749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260168306688).

128255749440 is an abundant number, since it is smaller than the sum of its proper divisors (392080863936).

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

128255749440 is a wasteful number, since it uses less digits than its factorization.

128255749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 128255749440 in words is "one hundred twenty-eight billion, two hundred fifty-five million, seven hundred forty-nine thousand, four hundred forty".