128936435040 has 1440 divisors, whose sum is σ = 571021000704. Its totient is φ = 26806671360.

The previous prime is 128936435027. The next prime is 128936435051. The reversal of 128936435040 is 40534639821.

128936435040 is a `hidden beast` number, since 1 + 2 + 89 + 3 + 64 + 3 + 504 + 0 = 666.

128936435040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1015247457 + ... + 1015247583.

Almost surely, 2^128936435040 is an apocalyptic number.

128936435040 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 128936435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285510500352).

128936435040 is an abundant number, since it is smaller than the sum of its proper divisors (442084565664).

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

128936435040 is a wasteful number, since it uses less digits than its factorization.

128936435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 128936435040 in words is "one hundred twenty-eight billion, nine hundred thirty-six million, four hundred thirty-five thousand, forty".