82109396040 has 192 divisors, whose sum is σ = 301626763200. Its totient is φ = 17780055552.

The previous prime is 82109396029. The next prime is 82109396051. The reversal of 82109396040 is 4069390128.

It is an interprime number because it is at equal distance from previous prime (82109396029) and next prime (82109396051).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 82109395983 and 82109396001.

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 47 ways as a sum of consecutive naturals, for example, 255759 + ... + 479198.

It is an arithmetic number, because the mean of its divisors is an integer number (1570972725).

Almost surely, 2^82109396040 is an apocalyptic number.

It is an amenable number.

82109396040 is an abundant number, since it is smaller than the sum of its proper divisors (219517367160).

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

82109396040 is a wasteful number, since it uses less digits than its factorization.

82109396040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735004 (or 734993 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 82109396040 in words is "eighty-two billion, one hundred nine million, three hundred ninety-six thousand, forty".