10344013414440 has 192 divisors, whose sum is σ = 33855777273600. Its totient is φ = 2525978161152.

The previous prime is 10344013414393. The next prime is 10344013414513. The reversal of 10344013414440 is 4441431044301.

It is a super-2 number, since 2×10344013414440² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2747520 + ... + 5313839.

It is an arithmetic number, because the mean of its divisors is an integer number (176332173300).

Almost surely, 2^{10344013414440} is an apocalyptic number.

10344013414440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344013414440 is an abundant number, since it is smaller than the sum of its proper divisors (23511763859160).

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

10344013414440 is a wasteful number, since it uses less digits than its factorization.

10344013414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8061444 (or 8061423 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 10344013414440 its reverse (4441431044301), we get a palindrome (14785444458741).

The spelling of 10344013414440 in words is "ten trillion, three hundred forty-four billion, thirteen million, four hundred fourteen thousand, four hundred forty".