10540434125240 has 64 divisors (see below), whose sum is σ = 24511727036160. Its totient is φ = 4075048258560.

The previous prime is 10540434125183. The next prime is 10540434125251. The reversal of 10540434125240 is 4252143404501.

It is a happy number.

It is a super-2 number, since 2×10540434125240² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10540434125240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4344437 + ... + 6320996.

It is an arithmetic number, because the mean of its divisors is an integer number (382995734940).

Almost surely, 2^{10540434125240} is an apocalyptic number.

10540434125240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10540434125240 is an abundant number, since it is smaller than the sum of its proper divisors (13971292910920).

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

10540434125240 is a wasteful number, since it uses less digits than its factorization.

10540434125240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10666272 (or 10666268 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 10540434125240 its reverse (4252143404501), we get a palindrome (14792577529741).

The spelling of 10540434125240 in words is "ten trillion, five hundred forty billion, four hundred thirty-four million, one hundred twenty-five thousand, two hundred forty".