10221414040 has 64 divisors (see below), whose sum is σ = 24233580000. Its totient is φ = 3869383680.

The previous prime is 10221413989. The next prime is 10221414041. The reversal of 10221414040 is 4041412201.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 10221413999 and 10221414017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221414041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790830 + ... + 803650.

Almost surely, 2^10221414040 is an apocalyptic number.

10221414040 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 10221414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12116790000).

10221414040 is an abundant number, since it is smaller than the sum of its proper divisors (14012165960).

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

10221414040 is a wasteful number, since it uses less digits than its factorization.

10221414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13900 (or 13896 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10221414040 its reverse (4041412201), we get a palindrome (14262826241).

The spelling of 10221414040 in words is "ten billion, two hundred twenty-one million, four hundred fourteen thousand, forty".