128642489841600 has 1344 divisors, whose sum is σ = 568015050424320. Its totient is φ = 27647690342400.

The previous prime is 128642489841587. The next prime is 128642489841683. The reversal of 128642489841600 is 6148984246821.

128642489841600 is a `hidden beast` number, since 1 + 2 + 8 + 64 + 2 + 489 + 84 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-4 number, since 4×128642489841600⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 5588038090 + ... + 5588061110.

Almost surely, 2^{128642489841600} is an apocalyptic number.

128642489841600 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 128642489841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284007525212160).

128642489841600 is an abundant number, since it is smaller than the sum of its proper divisors (439372560582720).

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

128642489841600 is a wasteful number, since it uses less digits than its factorization.

128642489841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24163 (or 24142 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 128642489841600 in words is "one hundred twenty-eight trillion, six hundred forty-two billion, four hundred eighty-nine million, eight hundred forty-one thousand, six hundred".