128626171914240 has 5760 divisors, whose sum is σ = 659967374626560. Its totient is φ = 23187161088000.

The previous prime is 128626171914239. The next prime is 128626171914271. The reversal of 128626171914240 is 42419171626821.

128626171914240 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 2 + 61 + 71 + 91 + 424 + 0 = 666.

128626171914240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 479 ways as a sum of consecutive naturals, for example, 183489545890 + ... + 183489546590.

It is an arithmetic number, because the mean of its divisors is an integer number (114577669206).

Almost surely, 2^{128626171914240} is an apocalyptic number.

128626171914240 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 128626171914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329983687313280).

128626171914240 is an abundant number, since it is smaller than the sum of its proper divisors (531341202712320).

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

128626171914240 is a wasteful number, since it uses less digits than its factorization.

128626171914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 128626171914240 in words is "one hundred twenty-eight trillion, six hundred twenty-six billion, one hundred seventy-one million, nine hundred fourteen thousand, two hundred forty".