10221442880 has 224 divisors, whose sum is σ = 27872667648. Its totient is φ = 3534080000.

The previous prime is 10221442873. The next prime is 10221442961. The reversal of 10221442880 is 8824412201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20320709 + ... + 20321211.

It is an arithmetic number, because the mean of its divisors is an integer number (124431552).

Almost surely, 2^10221442880 is an apocalyptic number.

10221442880 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 10221442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13936333824).

10221442880 is an abundant number, since it is smaller than the sum of its proper divisors (17651224768).

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

10221442880 is a wasteful number, since it uses less digits than its factorization.

10221442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 10221442880 in words is "ten billion, two hundred twenty-one million, four hundred forty-two thousand, eight hundred eighty".