128147583421440 has 1056 divisors, whose sum is σ = 519511267641600. Its totient is φ = 28875606589440.

The previous prime is 128147583421381. The next prime is 128147583421537. The reversal of 128147583421440 is 44124385741821.

128147583421440 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 4 + 7 + 583 + 4 + 2 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 510302631 + ... + 510553689.

Almost surely, 2^{128147583421440} is an apocalyptic number.

128147583421440 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 128147583421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259755633820800).

128147583421440 is an abundant number, since it is smaller than the sum of its proper divisors (391363684220160).

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

128147583421440 is a wasteful number, since it uses less digits than its factorization.

128147583421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251173 (or 251152 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 128147583421440 in words is "one hundred twenty-eight trillion, one hundred forty-seven billion, five hundred eighty-three million, four hundred twenty-one thousand, four hundred forty".