10461318381540 has 144 divisors (see below), whose sum is σ = 34177758778800. Its totient is φ = 2574783396864.

The previous prime is 10461318381533. The next prime is 10461318381541. The reversal of 10461318381540 is 4518381316401.

10461318381540 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 13 + 18 + 3 + 81 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1456853828004 + 9004464553536 = 1207002^2 + 3000744^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10461318381541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19458666 + ... + 19989054.

It is an arithmetic number, because the mean of its divisors is an integer number (237345547075).

Almost surely, 2^{10461318381540} is an apocalyptic number.

10461318381540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10461318381540 is an abundant number, since it is smaller than the sum of its proper divisors (23716440397260).

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

10461318381540 is a wasteful number, since it uses less digits than its factorization.

10461318381540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538846 (or 538841 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 10461318381540 its reverse (4518381316401), we get a palindrome (14979699697941).

The spelling of 10461318381540 in words is "ten trillion, four hundred sixty-one billion, three hundred eighteen million, three hundred eighty-one thousand, five hundred forty".