128140161209760 has 768 divisors, whose sum is σ = 490876485120000. Its totient is φ = 27446204104704.

The previous prime is 128140161209743. The next prime is 128140161209771. The reversal of 128140161209760 is 67902161041821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3599728282 + ... + 3599763878.

It is an arithmetic number, because the mean of its divisors is an integer number (639162090000).

Almost surely, 2^{128140161209760} is an apocalyptic number.

128140161209760 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 128140161209760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245438242560000).

128140161209760 is an abundant number, since it is smaller than the sum of its proper divisors (362736323910240).

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

128140161209760 is a wasteful number, since it uses less digits than its factorization.

128140161209760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36253 (or 36245 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 128140161209760 in words is "one hundred twenty-eight trillion, one hundred forty billion, one hundred sixty-one million, two hundred nine thousand, seven hundred sixty".