128568061440 has 1440 divisors, whose sum is σ = 567737501760. Its totient is φ = 26315587584.

The previous prime is 128568061439. The next prime is 128568061511. The reversal of 128568061440 is 44160865821.

It is a happy number.

128568061440 is a `hidden beast` number, since 1 + 28 + 5 + 6 + 8 + 0 + 614 + 4 + 0 = 666.

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

It is a super-2 number, since 2×128568061440² (a number of 23 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 1444584916 + ... + 1444585004.

It is an arithmetic number, because the mean of its divisors is an integer number (394262154).

Almost surely, 2^128568061440 is an apocalyptic number.

128568061440 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 128568061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283868750880).

128568061440 is an abundant number, since it is smaller than the sum of its proper divisors (439169440320).

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

128568061440 is a wasteful number, since it uses less digits than its factorization.

128568061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 128568061440 in words is "one hundred twenty-eight billion, five hundred sixty-eight million, sixty-one thousand, four hundred forty".