822304040544 has 144 divisors (see below), whose sum is σ = 2673429621408. Its totient is φ = 234861244416.

The previous prime is 822304040543. The next prime is 822304040561. The reversal of 822304040544 is 445040403228.

822304040544 is a `hidden beast` number, since 8 + 2 + 2 + 30 + 40 + 40 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 822304040499 and 822304040508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822304040543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5769954 + ... + 5910750.

It is an arithmetic number, because the mean of its divisors is an integer number (18565483482).

Almost surely, 2^822304040544 is an apocalyptic number.

822304040544 is a gapful number since it is divisible by the number (84) 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 822304040544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336714810704).

822304040544 is an abundant number, since it is smaller than the sum of its proper divisors (1851125580864).

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

822304040544 is a wasteful number, since it uses less digits than its factorization.

822304040544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143717 (or 143706 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 822304040544 in words is "eight hundred twenty-two billion, three hundred four million, forty thousand, five hundred forty-four".