825823493440 has 224 divisors, whose sum is σ = 2247510343680. Its totient is φ = 286091520000.

The previous prime is 825823493437. The next prime is 825823493441. The reversal of 825823493440 is 44394328528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825823493441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20300641 + ... + 20341279.

It is an arithmetic number, because the mean of its divisors is an integer number (10033528320).

Almost surely, 2^825823493440 is an apocalyptic number.

825823493440 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 825823493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123755171840).

825823493440 is an abundant number, since it is smaller than the sum of its proper divisors (1421686850240).

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

825823493440 is a wasteful number, since it uses less digits than its factorization.

825823493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40941 (or 40931 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 52.

The spelling of 825823493440 in words is "eight hundred twenty-five billion, eight hundred twenty-three million, four hundred ninety-three thousand, four hundred forty".