10145242260040 has 32 divisors (see below), whose sum is σ = 22827863335680. Its totient is φ = 4057906992832.

The previous prime is 10145242260001. The next prime is 10145242260077. The reversal of 10145242260040 is 4006224254101.

It is a junction number, because it is equal to n+sod(n) for n = 10145242259984 and 10145242260011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5067742 + ... + 6780301.

It is an arithmetic number, because the mean of its divisors is an integer number (713370729240).

Almost surely, 2^{10145242260040} is an apocalyptic number.

10145242260040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145242260040 is an abundant number, since it is smaller than the sum of its proper divisors (12682621075640).

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

10145242260040 is a wasteful number, since it uses less digits than its factorization.

10145242260040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11869461 (or 11869457 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 10145242260040 in words is "ten trillion, one hundred forty-five billion, two hundred forty-two million, two hundred sixty thousand, forty".