10825021440 has 480 divisors, whose sum is σ = 40146986880. Its totient is φ = 2786918400.

The previous prime is 10825021421. The next prime is 10825021447. The reversal of 10825021440 is 4412052801.

10825021440 is a `hidden beast` number, since 10 + 8 + 2 + 502 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10825021447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25712430 + ... + 25712850.

It is an arithmetic number, because the mean of its divisors is an integer number (83639556).

Almost surely, 2^10825021440 is an apocalyptic number.

10825021440 is a gapful number since it is divisible by the number (10) 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 10825021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073493440).

10825021440 is an abundant number, since it is smaller than the sum of its proper divisors (29321965440).

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

10825021440 is an equidigital number, since it uses as much as digits as its factorization.

10825021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 10825021440 in words is "ten billion, eight hundred twenty-five million, twenty-one thousand, four hundred forty".