128945053440 has 1008 divisors, whose sum is σ = 557629363200. Its totient is φ = 27895062528.

The previous prime is 128945053427. The next prime is 128945053477. The reversal of 128945053440 is 44350549821.

128945053440 is a `hidden beast` number, since 1 + 28 + 9 + 4 + 50 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 124104441 + ... + 124105479.

Almost surely, 2^128945053440 is an apocalyptic number.

128945053440 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 128945053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278814681600).

128945053440 is an abundant number, since it is smaller than the sum of its proper divisors (428684309760).

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

128945053440 is an equidigital number, since it uses as much as digits as its factorization.

128945053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 128945053440 in words is "one hundred twenty-eight billion, nine hundred forty-five million, fifty-three thousand, four hundred forty".