8233505040 has 80 divisors (see below), whose sum is σ = 26633616768. Its totient is φ = 2100139008.

The previous prime is 8233505039. The next prime is 8233505041. The reversal of 8233505040 is 405053328.

It is an interprime number because it is at equal distance from previous prime (8233505039) and next prime (8233505041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8233504989 and 8233505007.

It is not an unprimeable number, because it can be changed into a prime (8233505041) 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 15 ways as a sum of consecutive naturals, for example, 740269 + ... + 751308.

Almost surely, 2^8233505040 is an apocalyptic number.

8233505040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8233505040 is an abundant number, since it is smaller than the sum of its proper divisors (18400111728).

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

8233505040 is a wasteful number, since it uses less digits than its factorization.

8233505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491616 (or 1491610 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 8233505040 is about 90738.6634241435. The cubic root of 8233505040 is about 2019.2724432729.

Adding to 8233505040 its reverse (405053328), we get a palindrome (8638558368).

The spelling of 8233505040 in words is "eight billion, two hundred thirty-three million, five hundred five thousand, forty".