822241240128 has 1344 divisors, whose sum is σ = 3236326410240. Its totient is φ = 202032230400.

The previous prime is 822241240021. The next prime is 822241240133. The reversal of 822241240128 is 821042142228.

822241240128 is a `hidden beast` number, since 8 + 2 + 2 + 241 + 2 + 401 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 822241240092 and 822241240101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2806283950 + ... + 2806284242.

It is an arithmetic number, because the mean of its divisors is an integer number (2407980960).

Almost surely, 2^822241240128 is an apocalyptic number.

822241240128 is a gapful number since it is divisible by the number (88) 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 822241240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618163205120).

822241240128 is an abundant number, since it is smaller than the sum of its proper divisors (2414085170112).

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

822241240128 is a wasteful number, since it uses less digits than its factorization.

822241240128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 822241240128 in words is "eight hundred twenty-two billion, two hundred forty-one million, two hundred forty thousand, one hundred twenty-eight".