10221040314 has 48 divisors (see below), whose sum is σ = 23063157000. Its totient is φ = 3267427968.

The previous prime is 10221040309. The next prime is 10221040381. The reversal of 10221040314 is 41304012201.

10221040314 is a `hidden beast` number, since 102 + 210 + 40 + 314 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8927415225 + 1293625089 = 94485^2 + 35967^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 12072 + ... + 143484.

Almost surely, 2^10221040314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221040314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531578500).

10221040314 is an abundant number, since it is smaller than the sum of its proper divisors (12842116686).

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

10221040314 is a wasteful number, since it uses less digits than its factorization.

10221040314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131599 (or 131596 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10221040314 its reverse (41304012201), we get a palindrome (51525052515).

The spelling of 10221040314 in words is "ten billion, two hundred twenty-one million, forty thousand, three hundred fourteen".