8210465040 has 40 divisors (see below), whose sum is σ = 25452442368. Its totient is φ = 2189457280.

The previous prime is 8210465017. The next prime is 8210465047. The reversal of 8210465040 is 405640128.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 8210464989 and 8210465007.

It is not an unprimeable number, because it can be changed into a prime (8210465047) 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 7 ways as a sum of consecutive naturals, for example, 17104896 + ... + 17105375.

Almost surely, 2^8210465040 is an apocalyptic number.

8210465040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8210465040 is an abundant number, since it is smaller than the sum of its proper divisors (17241977328).

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

8210465040 is a wasteful number, since it uses less digits than its factorization.

8210465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34210287 (or 34210281 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 8210465040 is about 90611.6164738275. The cubic root of 8210465040 is about 2017.3871586595.

The spelling of 8210465040 in words is "eight billion, two hundred ten million, four hundred sixty-five thousand, forty".