10016440222440 has 128 divisors (see below), whose sum is σ = 30415268741760. Its totient is φ = 2638530284544.

The previous prime is 10016440222363. The next prime is 10016440222447. The reversal of 10016440222440 is 4422204461001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10016440222398 and 10016440222407.

It is not an unprimeable number, because it can be changed into a prime (10016440222447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82776862 + ... + 82897778.

It is an arithmetic number, because the mean of its divisors is an integer number (237619287045).

Almost surely, 2^{10016440222440} is an apocalyptic number.

10016440222440 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 10016440222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15207634370880).

10016440222440 is an abundant number, since it is smaller than the sum of its proper divisors (20398828519320).

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

10016440222440 is a wasteful number, since it uses less digits than its factorization.

10016440222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129331 (or 129327 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 10016440222440 its reverse (4422204461001), we get a palindrome (14438644683441).

The spelling of 10016440222440 in words is "ten trillion, sixteen billion, four hundred forty million, two hundred twenty-two thousand, four hundred forty".