10013012343440 has 80 divisors (see below), whose sum is σ = 23329177212096. Its totient is φ = 3996796608000.

The previous prime is 10013012343437. The next prime is 10013012343461. The reversal of 10013012343440 is 4434321031001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10013012343440² (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 15 ways as a sum of consecutive naturals, for example, 75389090 + ... + 75521790.

Almost surely, 2^{10013012343440} is an apocalyptic number.

10013012343440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013012343440 is an abundant number, since it is smaller than the sum of its proper divisors (13316164868656).

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

10013012343440 is a wasteful number, since it uses less digits than its factorization.

10013012343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134688 (or 134682 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10013012343440 its reverse (4434321031001), we get a palindrome (14447333374441).

The spelling of 10013012343440 in words is "ten trillion, thirteen billion, twelve million, three hundred forty-three thousand, four hundred forty".