10024330541409 has 12 divisors (see below), whose sum is σ = 14483164702500. Its totient is φ = 6681236500224.

The previous prime is 10024330541399. The next prime is 10024330541419. The reversal of 10024330541409 is 90414503342001.

10024330541409 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 43 + 30 + 541 + 40 + 9 = 666.

10024330541409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10024330541399) and next prime (10024330541419).

It can be written as a sum of positive squares in 2 ways, for example, as 7077089678400 + 2947240863009 = 2660280^2 + 1716753^2 .

It is not a de Polignac number, because 10024330541409 - 2⁹ = 10024330540897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10024330541419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137505484 + ... + 137578365.

It is an arithmetic number, because the mean of its divisors is an integer number (1206930391875).

Almost surely, 2^{10024330541409} is an apocalyptic number.

It is an amenable number.

10024330541409 is a deficient number, since it is larger than the sum of its proper divisors (4458834161091).

10024330541409 is a wasteful number, since it uses less digits than its factorization.

10024330541409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275087904 (or 275087901 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10024330541409 in words is "ten trillion, twenty-four billion, three hundred thirty million, five hundred forty-one thousand, four hundred nine".