128408478750720 has 3840 divisors, whose sum is σ = 571381050240000. Its totient is φ = 26934053437440.

The previous prime is 128408478750593. The next prime is 128408478750751. The reversal of 128408478750720 is 27057874804821.

128408478750720 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 0 + 8 + 47 + 87 + 507 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 319 ways as a sum of consecutive naturals, for example, 709439109030 + ... + 709439109210.

It is an arithmetic number, because the mean of its divisors is an integer number (148797148500).

Almost surely, 2^{128408478750720} is an apocalyptic number.

128408478750720 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 128408478750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285690525120000).

128408478750720 is an abundant number, since it is smaller than the sum of its proper divisors (442972571489280).

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

128408478750720 is a wasteful number, since it uses less digits than its factorization.

128408478750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 56197120, while the sum is 63.

The spelling of 128408478750720 in words is "one hundred twenty-eight trillion, four hundred eight billion, four hundred seventy-eight million, seven hundred fifty thousand, seven hundred twenty".