128027540344704 has 2048 divisors, whose sum is σ = 473387631575040. Its totient is φ = 29840147251200.

The previous prime is 128027540344657. The next prime is 128027540344727. The reversal of 128027540344704 is 407443045720821.

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 255 ways as a sum of consecutive naturals, for example, 411664116709 + ... + 411664117019.

It is an arithmetic number, because the mean of its divisors is an integer number (231146304480).

Almost surely, 2^{128027540344704} is an apocalyptic number.

128027540344704 is a gapful number since it is divisible by the number (14) 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 128027540344704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236693815787520).

128027540344704 is an abundant number, since it is smaller than the sum of its proper divisors (345360091230336).

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

128027540344704 is a wasteful number, since it uses less digits than its factorization.

128027540344704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 51.

The spelling of 128027540344704 in words is "one hundred twenty-eight trillion, twenty-seven billion, five hundred forty million, three hundred forty-four thousand, seven hundred four".