10540414534230 has 128 divisors (see below), whose sum is σ = 32129332162560. Its totient is φ = 2408775304320.

The previous prime is 10540414534127. The next prime is 10540414534249. The reversal of 10540414534230 is 3243541404501.

10540414534230 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 414 + 5 + 3 + 4 + 230 = 666.

It is a super-2 number, since 2×10540414534230² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9365475 + ... + 10430385.

It is an arithmetic number, because the mean of its divisors is an integer number (251010407520).

Almost surely, 2^{10540414534230} is an apocalyptic number.

10540414534230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10540414534230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16064666081280).

10540414534230 is an abundant number, since it is smaller than the sum of its proper divisors (21588917628330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10540414534230 is a wasteful number, since it uses less digits than its factorization.

10540414534230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070171 (or 1070165 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 10540414534230 its reverse (3243541404501), we get a palindrome (13783955938731).

The spelling of 10540414534230 in words is "ten trillion, five hundred forty billion, four hundred fourteen million, five hundred thirty-four thousand, two hundred thirty".