8433128340 has 720 divisors, whose sum is σ = 34257350400. Its totient is φ = 1664312832.

The previous prime is 8433128303. The next prime is 8433128357. The reversal of 8433128340 is 438213348.

It is a happy number.

8433128340 is a `hidden beast` number, since 8 + 4 + 331 + 283 + 40 = 666.

It is a super-2 number, since 2×8433128340² (a number of 21 digits) contains 22 as substring.

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 = 8433128295 and 8433128304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 106748421 + ... + 106748499.

Almost surely, 2^8433128340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8433128340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128675200).

8433128340 is an abundant number, since it is smaller than the sum of its proper divisors (25824222060).

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

8433128340 is a wasteful number, since it uses less digits than its factorization.

8433128340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

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

The square root of 8433128340 is about 91832.0659682662. The cubic root of 8433128340 is about 2035.4615513812.

The spelling of 8433128340 in words is "eight billion, four hundred thirty-three million, one hundred twenty-eight thousand, three hundred forty".