10405240530135 has 16 divisors (see below), whose sum is σ = 18161874380160. Its totient is φ = 5044965105440.

The previous prime is 10405240530131. The next prime is 10405240530193. The reversal of 10405240530135 is 53103504250401.

It is not a de Polignac number, because 10405240530135 - 2² = 10405240530131 is a prime.

It is a super-4 number, since 4×10405240530135⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10405240530096 and 10405240530105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405240530131) 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, 31531031745 + ... + 31531032074.

It is an arithmetic number, because the mean of its divisors is an integer number (1135117148760).

Almost surely, 2^{10405240530135} is an apocalyptic number.

10405240530135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10405240530135 is a deficient number, since it is larger than the sum of its proper divisors (7756633850025).

10405240530135 is a wasteful number, since it uses less digits than its factorization.

10405240530135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63062063838.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 10405240530135 its reverse (53103504250401), we get a palindrome (63508744780536).

The spelling of 10405240530135 in words is "ten trillion, four hundred five billion, two hundred forty million, five hundred thirty thousand, one hundred thirty-five".