10129076429641 has 27 divisors (see below), whose sum is σ = 11652119347743. Its totient is φ = 8799310540800.

The previous prime is 10129076429639. The next prime is 10129076429657. The reversal of 10129076429641 is 14692467092101.

It is a happy number.

The square root of 10129076429641 is 3182621.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 126152122041 + 10002924307600 = 355179^2 + 3162740^2 .

It is not a de Polignac number, because 10129076429641 - 2¹ = 10129076429639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10129076429341) 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 26 ways as a sum of consecutive naturals, for example, 703352041 + ... + 703366441.

Almost surely, 2^{10129076429641} is an apocalyptic number.

10129076429641 is the 3182621-st square number.

10129076429641 is the 1591311-st centered octagonal number.

It is an amenable number.

10129076429641 is a deficient number, since it is larger than the sum of its proper divisors (1523042918102).

10129076429641 is an frugal number, since it uses more digits than its factorization.

10129076429641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28862 (or 14431 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 10129076429641 in words is "ten trillion, one hundred twenty-nine billion, seventy-six million, four hundred twenty-nine thousand, six hundred forty-one".