82440723456 has 1056 divisors, whose sum is σ = 317814927360. Its totient is φ = 20901888000.

The previous prime is 82440723437. The next prime is 82440723503. The reversal of 82440723456 is 65432704428.

It is a happy number.

82440723456 is a `hidden beast` number, since 8 + 2 + 4 + 407 + 234 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 545964981 + ... + 545965131.

Almost surely, 2^82440723456 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 82440723456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158907463680).

82440723456 is an abundant number, since it is smaller than the sum of its proper divisors (235374203904).

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

82440723456 is a wasteful number, since it uses less digits than its factorization.

82440723456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 82440723456 in words is "eighty-two billion, four hundred forty million, seven hundred twenty-three thousand, four hundred fifty-six".