33128040960 has 800 divisors, whose sum is σ = 140459045760. Its totient is φ = 7301726208.

The previous prime is 33128040949. The next prime is 33128040997. The reversal of 33128040960 is 6904082133.

33128040960 is a `hidden beast` number, since 331 + 280 + 40 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42093687 + ... + 42094473.

Almost surely, 2^33128040960 is an apocalyptic number.

33128040960 is a gapful number since it is divisible by the number (30) 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 33128040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70229522880).

33128040960 is an abundant number, since it is smaller than the sum of its proper divisors (107331004800).

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

33128040960 is an equidigital number, since it uses as much as digits as its factorization.

33128040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 33128040960 in words is "thirty-three billion, one hundred twenty-eight million, forty thousand, nine hundred sixty".