10221168240 has 120 divisors (see below), whose sum is σ = 34351404048. Its totient is φ = 2723635200.

The previous prime is 10221168227. The next prime is 10221168277. The reversal of 10221168240 is 4286112201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1148287 + ... + 1157153.

Almost surely, 2^10221168240 is an apocalyptic number.

10221168240 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 10221168240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175702024).

10221168240 is an abundant number, since it is smaller than the sum of its proper divisors (24130235808).

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

10221168240 is a wasteful number, since it uses less digits than its factorization.

10221168240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10487 (or 10478 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10221168240 in words is "ten billion, two hundred twenty-one million, one hundred sixty-eight thousand, two hundred forty".