824912740416 has 168 divisors, whose sum is σ = 2332430525376. Its totient is φ = 257243586560.

The previous prime is 824912740391. The next prime is 824912740439. The reversal of 824912740416 is 614047219428.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9221986 + ... + 9311006.

It is an arithmetic number, because the mean of its divisors is an integer number (13883515032).

Almost surely, 2^824912740416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 824912740416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166215262688).

824912740416 is an abundant number, since it is smaller than the sum of its proper divisors (1507517784960).

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

824912740416 is a wasteful number, since it uses less digits than its factorization.

824912740416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89237 (or 89210 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 824912740416 in words is "eight hundred twenty-four billion, nine hundred twelve million, seven hundred forty thousand, four hundred sixteen".