10224410334440 has 128 divisors (see below), whose sum is σ = 23637877522560. Its totient is φ = 3978787405824.

The previous prime is 10224410334421. The next prime is 10224410334469. The reversal of 10224410334440 is 4443301442201.

It is a super-2 number, since 2×10224410334440² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10224410334397 and 10224410334406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822354464 + ... + 822366896.

It is an arithmetic number, because the mean of its divisors is an integer number (184670918145).

Almost surely, 2^{10224410334440} is an apocalyptic number.

10224410334440 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 10224410334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11818938761280).

10224410334440 is an abundant number, since it is smaller than the sum of its proper divisors (13413467188120).

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

10224410334440 is a wasteful number, since it uses less digits than its factorization.

10224410334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16291 (or 16287 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 10224410334440 its reverse (4443301442201), we get a palindrome (14667711776641).

The spelling of 10224410334440 in words is "ten trillion, two hundred twenty-four billion, four hundred ten million, three hundred thirty-four thousand, four hundred forty".