82403917440 has 256 divisors, whose sum is σ = 283965454080. Its totient is φ = 20205305856.

The previous prime is 82403917367. The next prime is 82403917441. The reversal of 82403917440 is 4471930428.

It is a junction number, because it is equal to n+sod(n) for n = 82403917392 and 82403917401.

It is not an unprimeable number, because it can be changed into a prime (82403917441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6558204 + ... + 6570756.

It is an arithmetic number, because the mean of its divisors is an integer number (1109240055).

Almost surely, 2^82403917440 is an apocalyptic number.

82403917440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82403917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141982727040).

82403917440 is an abundant number, since it is smaller than the sum of its proper divisors (201561536640).

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

82403917440 is a wasteful number, since it uses less digits than its factorization.

82403917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12851 (or 12839 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 82403917440 in words is "eighty-two billion, four hundred three million, nine hundred seventeen thousand, four hundred forty".