128577332240 has 160 divisors (see below), whose sum is σ = 349233361920. Its totient is φ = 43106660352.

The previous prime is 128577332227. The next prime is 128577332251. The reversal of 128577332240 is 42233775821.

It is a junction number, because it is equal to n+sod(n) for n = 128577332191 and 128577332200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56665826 + ... + 56668094.

It is an arithmetic number, because the mean of its divisors is an integer number (2182708512).

Almost surely, 2^128577332240 is an apocalyptic number.

128577332240 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 128577332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174616680960).

128577332240 is an abundant number, since it is smaller than the sum of its proper divisors (220656029680).

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

128577332240 is a wasteful number, since it uses less digits than its factorization.

128577332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 128577332240 in words is "one hundred twenty-eight billion, five hundred seventy-seven million, three hundred thirty-two thousand, two hundred forty".