128527439040 has 2016 divisors, whose sum is σ = 627583078080. Its totient is φ = 24524881920.

The previous prime is 128527439023. The next prime is 128527439063. The reversal of 128527439040 is 40934725821.

128527439040 is a `hidden beast` number, since 128 + 52 + 7 + 439 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×128527439040² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 665945184 + ... + 665945376.

It is an arithmetic number, because the mean of its divisors is an integer number (311301130).

Almost surely, 2^128527439040 is an apocalyptic number.

128527439040 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 128527439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313791539040).

128527439040 is an abundant number, since it is smaller than the sum of its proper divisors (499055639040).

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

128527439040 is a wasteful number, since it uses less digits than its factorization.

128527439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 128527439040 in words is "one hundred twenty-eight billion, five hundred twenty-seven million, four hundred thirty-nine thousand, forty".