8825285040 has 480 divisors, whose sum is σ = 32854438848. Its totient is φ = 1946419200.

The previous prime is 8825285033. The next prime is 8825285057. The reversal of 8825285040 is 405825288.

It is a junction number, because it is equal to n+sod(n) for n = 8825284983 and 8825285001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36619320 + ... + 36619560.

Almost surely, 2^8825285040 is an apocalyptic number.

8825285040 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 8825285040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427219424).

8825285040 is an abundant number, since it is smaller than the sum of its proper divisors (24029153808).

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

8825285040 is a wasteful number, since it uses less digits than its factorization.

8825285040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 8825285040 is about 93942.9882428699. The cubic root of 8825285040 is about 2066.5357070444.

The spelling of 8825285040 in words is "eight billion, eight hundred twenty-five million, two hundred eighty-five thousand, forty".