128401136640000 has 5040 divisors, whose sum is σ = 589350530648880. Its totient is φ = 26754416640000.

The previous prime is 128401136639983. The next prime is 128401136640011. The reversal of 128401136640000 is 46631104821.

128401136640000 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 0 + 1 + 1 + 3 + 6 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1758919679964 + ... + 1758919680036.

It is an arithmetic number, because the mean of its divisors is an integer number (116934629097).

Almost surely, 2^{128401136640000} is an apocalyptic number.

128401136640000 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 128401136640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294675265324440).

128401136640000 is an abundant number, since it is smaller than the sum of its proper divisors (460949394008880).

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

128401136640000 is an equidigital number, since it uses as much as digits as its factorization.

128401136640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 128401136640000 its reverse (46631104821), we get a palindrome (128447767744821).

The spelling of 128401136640000 in words is "one hundred twenty-eight trillion, four hundred one billion, one hundred thirty-six million, six hundred forty thousand".