8082436440 has 128 divisors (see below), whose sum is σ = 27247933440. Its totient is φ = 1903013376.

The previous prime is 8082436421. The next prime is 8082436487. The reversal of 8082436440 is 446342808.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 76752 + ... + 148511.

It is an arithmetic number, because the mean of its divisors is an integer number (212874480).

Almost surely, 2^8082436440 is an apocalyptic number.

It is an amenable number.

8082436440 is an abundant number, since it is smaller than the sum of its proper divisors (19165497000).

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

8082436440 is a wasteful number, since it uses less digits than its factorization.

8082436440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225313 (or 225309 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 8082436440 is about 89902.3717150999. The cubic root of 8082436440 is about 2006.8462410840.

The spelling of 8082436440 in words is "eight billion, eighty-two million, four hundred thirty-six thousand, four hundred forty".