128165415840 has 576 divisors, whose sum is σ = 547440042240. Its totient is φ = 26526597120.

The previous prime is 128165415817. The next prime is 128165415863. The reversal of 128165415840 is 48514561821.

128165415840 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 65 + 4 + 1 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (128165415817) and next prime (128165415863).

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

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 95 ways as a sum of consecutive naturals, for example, 29824572 + ... + 29828868.

It is an arithmetic number, because the mean of its divisors is an integer number (950416740).

Almost surely, 2^128165415840 is an apocalyptic number.

128165415840 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 128165415840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273720021120).

128165415840 is an abundant number, since it is smaller than the sum of its proper divisors (419274626400).

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

128165415840 is a wasteful number, since it uses less digits than its factorization.

128165415840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 128165415840 in words is "one hundred twenty-eight billion, one hundred sixty-five million, four hundred fifteen thousand, eight hundred forty".