10540435210413 has 8 divisors (see below), whose sum is σ = 14057739905088. Its totient is φ = 7025043661344.

The previous prime is 10540435210399. The next prime is 10540435210453. The reversal of 10540435210413 is 31401253404501.

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

It is not a de Polignac number, because 10540435210413 - 2⁵ = 10540435210381 is a prime.

It is a super-2 number, since 2×10540435210413² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540435210453) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 478273545 + ... + 478295582.

It is an arithmetic number, because the mean of its divisors is an integer number (1757217488136).

Almost surely, 2^{10540435210413} is an apocalyptic number.

It is an amenable number.

10540435210413 is a deficient number, since it is larger than the sum of its proper divisors (3517304694675).

10540435210413 is an equidigital number, since it uses as much as digits as its factorization.

10540435210413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956572803.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 10540435210413 its reverse (31401253404501), we get a palindrome (41941688614914).

The spelling of 10540435210413 in words is "ten trillion, five hundred forty billion, four hundred thirty-five million, two hundred ten thousand, four hundred thirteen".