128633425449840 has 240 divisors, whose sum is σ = 435030215093760. Its totient is φ = 34061892318720.

The previous prime is 128633425449839. The next prime is 128633425449857. The reversal of 128633425449840 is 48944524336821.

128633425449840 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 3 + 3 + 4 + 2 + 544 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65728509 + ... + 67657251.

It is an arithmetic number, because the mean of its divisors is an integer number (1812625896224).

Almost surely, 2^{128633425449840} is an apocalyptic number.

128633425449840 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 128633425449840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217515107546880).

128633425449840 is an abundant number, since it is smaller than the sum of its proper divisors (306396789643920).

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

128633425449840 is a wasteful number, since it uses less digits than its factorization.

128633425449840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929412 (or 1929403 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 128633425449840 in words is "one hundred twenty-eight trillion, six hundred thirty-three billion, four hundred twenty-five million, four hundred forty-nine thousand, eight hundred forty".