128942433360 has 320 divisors, whose sum is σ = 479091836160. Its totient is φ = 31687096320.

The previous prime is 128942433343. The next prime is 128942433401. The reversal of 128942433360 is 63334249821.

128942433360 is a `hidden beast` number, since 1 + 289 + 4 + 2 + 4 + 3 + 3 + 360 = 666.

It is a super-2 number, since 2×128942433360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18557407 + ... + 18564353.

It is an arithmetic number, because the mean of its divisors is an integer number (1497161988).

Almost surely, 2^128942433360 is an apocalyptic number.

128942433360 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 128942433360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239545918080).

128942433360 is an abundant number, since it is smaller than the sum of its proper divisors (350149402800).

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

128942433360 is a wasteful number, since it uses less digits than its factorization.

128942433360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7643 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 128942433360 in words is "one hundred twenty-eight billion, nine hundred forty-two million, four hundred thirty-three thousand, three hundred sixty".