82360430040 has 128 divisors (see below), whose sum is σ = 283857592320. Its totient is φ = 18726643200.

The previous prime is 82360430017. The next prime is 82360430051. The reversal of 82360430040 is 4003406328.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96231 + ... + 417110.

It is an arithmetic number, because the mean of its divisors is an integer number (2217637440).

Almost surely, 2^82360430040 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 82360430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141928796160).

82360430040 is an abundant number, since it is smaller than the sum of its proper divisors (201497162280).

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

82360430040 is a wasteful number, since it uses less digits than its factorization.

82360430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513553 (or 513549 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 82360430040 its reverse (4003406328), we get a palindrome (86363836368).

The spelling of 82360430040 in words is "eighty-two billion, three hundred sixty million, four hundred thirty thousand, forty".