128350716099840 has 4608 divisors, whose sum is σ = 571861411430400. Its totient is φ = 26899654901760.

The previous prime is 128350716099799. The next prime is 128350716099847. The reversal of 128350716099840 is 48990617053821.

128350716099840 is a `hidden beast` number, since 1 + 2 + 83 + 507 + 1 + 6 + 0 + 9 + 9 + 8 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128350716099847) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 463359985782 + ... + 463359986058.

It is an arithmetic number, because the mean of its divisors is an integer number (124101868800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅128350716099840 = 256701432199680, but 3⋅128350716099840 = 385052148299520 is not.

Almost surely, 2^{128350716099840} is an apocalyptic number.

128350716099840 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 128350716099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285930705715200).

128350716099840 is an abundant number, since it is smaller than the sum of its proper divisors (443510695330560).

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

128350716099840 is a wasteful number, since it uses less digits than its factorization.

128350716099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 128350716099840 in words is "one hundred twenty-eight trillion, three hundred fifty billion, seven hundred sixteen million, ninety-nine thousand, eight hundred forty".