82122448343040 has 624 divisors, whose sum is σ = 327883843842048. Its totient is φ = 18623006244864.

The previous prime is 82122448343017. The next prime is 82122448343059. The reversal of 82122448343040 is 4034384422128.

82122448343040 is a `hidden beast` number, since 8 + 2 + 1 + 224 + 48 + 343 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163609894 + ... + 164111066.

It is an arithmetic number, because the mean of its divisors is an integer number (525454877952).

Almost surely, 2^{82122448343040} is an apocalyptic number.

82122448343040 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 82122448343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163941921921024).

82122448343040 is an abundant number, since it is smaller than the sum of its proper divisors (245761395499008).

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

82122448343040 is a wasteful number, since it uses less digits than its factorization.

82122448343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501342 (or 501317 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 82122448343040 in words is "eighty-two trillion, one hundred twenty-two billion, four hundred forty-eight million, three hundred forty-three thousand, forty".