128041394906880 has 1152 divisors, whose sum is σ = 566303405875200. Its totient is φ = 26673309351936.

The previous prime is 128041394906839. The next prime is 128041394906947. The reversal of 128041394906880 is 88609493140821.

128041394906880 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 4 + 1 + 3 + 9 + 490 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 248194162 + ... + 248709518.

It is an arithmetic number, because the mean of its divisors is an integer number (491582817600).

Almost surely, 2^{128041394906880} is an apocalyptic number.

128041394906880 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 128041394906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283151702937600).

128041394906880 is an abundant number, since it is smaller than the sum of its proper divisors (438262010968320).

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

128041394906880 is a wasteful number, since it uses less digits than its factorization.

128041394906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515486 (or 515466 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 128041394906880 in words is "one hundred twenty-eight trillion, forty-one billion, three hundred ninety-four million, nine hundred six thousand, eight hundred eighty".