824347940000 has 240 divisors, whose sum is σ = 2187156011040. Its totient is φ = 303937920000.

The previous prime is 824347939931. The next prime is 824347940033. The reversal of 824347940000 is 49743428.

It is a self number, because there is not a number n which added to its sum of digits gives 824347940000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 223338155 + ... + 223341845.

It is an arithmetic number, because the mean of its divisors is an integer number (9113150046).

Almost surely, 2^824347940000 is an apocalyptic number.

824347940000 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 824347940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093578005520).

824347940000 is an abundant number, since it is smaller than the sum of its proper divisors (1362808071040).

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

824347940000 is a wasteful number, since it uses less digits than its factorization.

824347940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 824347940000 in words is "eight hundred twenty-four billion, three hundred forty-seven million, nine hundred forty thousand".