803433220128 has 864 divisors, whose sum is σ = 3030436281600. Its totient is φ = 197245255680.

The previous prime is 803433220127. The next prime is 803433220147. The reversal of 803433220128 is 821022334308.

803433220128 is a `hidden beast` number, since 80 + 3 + 433 + 2 + 20 + 128 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 803433220092 and 803433220101.

It is not an unprimeable number, because it can be changed into a prime (803433220123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 499336188 + ... + 499337796.

It is an arithmetic number, because the mean of its divisors is an integer number (3507449400).

Almost surely, 2^803433220128 is an apocalyptic number.

803433220128 is a gapful number since it is divisible by the number (88) 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 803433220128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515218140800).

803433220128 is an abundant number, since it is smaller than the sum of its proper divisors (2227003061472).

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

803433220128 is a wasteful number, since it uses less digits than its factorization.

803433220128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 803433220128 in words is "eight hundred three billion, four hundred thirty-three million, two hundred twenty thousand, one hundred twenty-eight".