10221415040 has 128 divisors (see below), whose sum is σ = 24907176000. Its totient is φ = 4010434560.

The previous prime is 10221415033. The next prime is 10221415063. The reversal of 10221415040 is 4051412201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7916795 + ... + 7918085.

Almost surely, 2^10221415040 is an apocalyptic number.

10221415040 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 10221415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12453588000).

10221415040 is an abundant number, since it is smaller than the sum of its proper divisors (14685760960).

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

10221415040 is a wasteful number, since it uses less digits than its factorization.

10221415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 10221415040 its reverse (4051412201), we get a palindrome (14272827241).

The spelling of 10221415040 in words is "ten billion, two hundred twenty-one million, four hundred fifteen thousand, forty".