10429720009743 has 16 divisors (see below), whose sum is σ = 13928256579456. Its totient is φ = 6942170508000.

The previous prime is 10429720009669. The next prime is 10429720009847. The reversal of 10429720009743 is 34790002792401.

It is a happy number.

It is not a de Polignac number, because 10429720009743 - 2¹² = 10429720005647 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10429720009692 and 10429720009701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10429720002743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6996205 + ... + 8355017.

It is an arithmetic number, because the mean of its divisors is an integer number (870516036216).

Almost surely, 2^{10429720009743} is an apocalyptic number.

10429720009743 is a deficient number, since it is larger than the sum of its proper divisors (3498536569713).

10429720009743 is a wasteful number, since it uses less digits than its factorization.

10429720009743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362854.

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 10429720009743 in words is "ten trillion, four hundred twenty-nine billion, seven hundred twenty million, nine thousand, seven hundred forty-three".