10205021440 has 144 divisors (see below), whose sum is σ = 25823863296. Its totient is φ = 3857817600.

The previous prime is 10205021423. The next prime is 10205021441. The reversal of 10205021440 is 4412050201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205021441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1703250 + ... + 1709230.

It is an arithmetic number, because the mean of its divisors is an integer number (179332384).

Almost surely, 2^10205021440 is an apocalyptic number.

10205021440 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 10205021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12911931648).

10205021440 is an abundant number, since it is smaller than the sum of its proper divisors (15618841856).

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

10205021440 is an equidigital number, since it uses as much as digits as its factorization.

10205021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076 (or 6062 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 10205021440 its reverse (4412050201), we get a palindrome (14617071641).

The spelling of 10205021440 in words is "ten billion, two hundred five million, twenty-one thousand, four hundred forty".