10221321440 has 192 divisors, whose sum is σ = 28439631360. Its totient is φ = 3432253440.

The previous prime is 10221321421. The next prime is 10221321449. The reversal of 10221321440 is 4412312201.

10221321440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221321449) 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, 1169567 + ... + 1178273.

It is an arithmetic number, because the mean of its divisors is an integer number (148123080).

Almost surely, 2^10221321440 is an apocalyptic number.

10221321440 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 10221321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14219815680).

10221321440 is an abundant number, since it is smaller than the sum of its proper divisors (18218309920).

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

10221321440 is a wasteful number, since it uses less digits than its factorization.

10221321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8785 (or 8777 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10221321440 its reverse (4412312201), we get a palindrome (14633633641).

The spelling of 10221321440 in words is "ten billion, two hundred twenty-one million, three hundred twenty-one thousand, four hundred forty".