10221839040 has 448 divisors, whose sum is σ = 38916864000. Its totient is φ = 2270564352.

The previous prime is 10221839029. The next prime is 10221839053. The reversal of 10221839040 is 4093812201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10221838989 and 10221839007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12182941 + ... + 12183779.

It is an arithmetic number, because the mean of its divisors is an integer number (86868000).

Almost surely, 2^10221839040 is an apocalyptic number.

10221839040 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 10221839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432000).

10221839040 is an abundant number, since it is smaller than the sum of its proper divisors (28695024960).

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

10221839040 is an equidigital number, since it uses as much as digits as its factorization.

10221839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 10221839040 in words is "ten billion, two hundred twenty-one million, eight hundred thirty-nine thousand, forty".