10540123040 has 48 divisors (see below), whose sum is σ = 24940742400. Its totient is φ = 4209327360.

The previous prime is 10540123021. The next prime is 10540123043. The reversal of 10540123040 is 4032104501.

It is a super-2 number, since 2×10540123040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10540123043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48761 + ... + 153159.

It is an arithmetic number, because the mean of its divisors is an integer number (519598800).

Almost surely, 2^10540123040 is an apocalyptic number.

10540123040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10540123040 is an abundant number, since it is smaller than the sum of its proper divisors (14400619360).

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

10540123040 is a wasteful number, since it uses less digits than its factorization.

10540123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105045 (or 105037 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10540123040 its reverse (4032104501), we get a palindrome (14572227541).

The spelling of 10540123040 in words is "ten billion, five hundred forty million, one hundred twenty-three thousand, forty".