128473547005440 has 3840 divisors, whose sum is σ = 588790554992640. Its totient is φ = 26383199109120.

The previous prime is 128473547005379. The next prime is 128473547005459. The reversal of 128473547005440 is 44500745374821.

128473547005440 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 7 + 3 + 547 + 0 + 0 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 709798602150 + ... + 709798602330.

It is an arithmetic number, because the mean of its divisors is an integer number (153330873696).

Almost surely, 2^{128473547005440} is an apocalyptic number.

128473547005440 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 128473547005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294395277496320).

128473547005440 is an abundant number, since it is smaller than the sum of its proper divisors (460317007987200).

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

128473547005440 is an frugal number, since it uses more digits than its factorization.

128473547005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 128473547005440 in words is "one hundred twenty-eight trillion, four hundred seventy-three billion, five hundred forty-seven million, five thousand, four hundred forty".