128345351040 has 256 divisors, whose sum is σ = 470232648000. Its totient is φ = 33045110784.

The previous prime is 128345350979. The next prime is 128345351077. The reversal of 128345351040 is 40153543821.

128345351040 is a `hidden beast` number, since 1 + 2 + 83 + 4 + 535 + 1 + 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 = 128345350986 and 128345351004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373062 + ... + 629178.

Almost surely, 2^128345351040 is an apocalyptic number.

128345351040 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 128345351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235116324000).

128345351040 is an abundant number, since it is smaller than the sum of its proper divisors (341887296960).

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

128345351040 is a wasteful number, since it uses less digits than its factorization.

128345351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256174 (or 256156 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 128345351040 its reverse (40153543821), we get a palindrome (168498894861).

The spelling of 128345351040 in words is "one hundred twenty-eight billion, three hundred forty-five million, three hundred fifty-one thousand, forty".