128024011664640 has 648 divisors, whose sum is σ = 548164408296960. Its totient is φ = 27011656728576.

The previous prime is 128024011664617. The next prime is 128024011664657. The reversal of 128024011664640 is 46466110420821.

128024011664640 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 2 + 401 + 166 + 46 + 40 = 666.

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 71 ways as a sum of consecutive naturals, for example, 8931121 + ... + 18325199.

Almost surely, 2^{128024011664640} is an apocalyptic number.

128024011664640 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 128024011664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274082204148480).

128024011664640 is an abundant number, since it is smaller than the sum of its proper divisors (420140396632320).

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

128024011664640 is a wasteful number, since it uses less digits than its factorization.

128024011664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9394139 (or 9394109 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 128024011664640 in words is "one hundred twenty-eight trillion, twenty-four billion, eleven million, six hundred sixty-four thousand, six hundred forty".