128193602040 has 768 divisors, whose sum is σ = 518884704000. Its totient is φ = 27340701696.

The previous prime is 128193602003. The next prime is 128193602101. The reversal of 128193602040 is 40206391821.

128193602040 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 9 + 3 + 602 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128193601986 and 128193602004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 363154504 + ... + 363154856.

It is an arithmetic number, because the mean of its divisors is an integer number (675631125).

Almost surely, 2^128193602040 is an apocalyptic number.

128193602040 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 128193602040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259442352000).

128193602040 is an abundant number, since it is smaller than the sum of its proper divisors (390691101960).

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

128193602040 is a wasteful number, since it uses less digits than its factorization.

128193602040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 128193602040 its reverse (40206391821), we get a palindrome (168399993861).

The spelling of 128193602040 in words is "one hundred twenty-eight billion, one hundred ninety-three million, six hundred two thousand, forty".