10540414534229 has 8 divisors (see below), whose sum is σ = 10713866437560. Its totient is φ = 10366983864000.

The previous prime is 10540414534127. The next prime is 10540414534249. The reversal of 10540414534229 is 92243541404501.

It can be written as a sum of positive squares in 4 ways, for example, as 84905218225 + 10455509316004 = 291385^2 + 3233498^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10540414534229 - 2²⁴ = 10540397757013 is a prime.

It is a super-2 number, since 2×10540414534229² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10540414534229.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540414534249) 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 7 ways as a sum of consecutive naturals, for example, 4305734 + ... + 6294455.

It is an arithmetic number, because the mean of its divisors is an integer number (1339233304695).

Almost surely, 2^{10540414534229} is an apocalyptic number.

It is an amenable number.

10540414534229 is a deficient number, since it is larger than the sum of its proper divisors (173451903331).

10540414534229 is a wasteful number, since it uses less digits than its factorization.

10540414534229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10616551.

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 10540414534229 in words is "ten trillion, five hundred forty billion, four hundred fourteen million, five hundred thirty-four thousand, two hundred twenty-nine".