10024361541 has 48 divisors (see below), whose sum is σ = 15169467456. Its totient is φ = 6373156608.

The previous prime is 10024361527. The next prime is 10024361573. The reversal of 10024361541 is 14516342001.

It is a happy number.

10024361541 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 4 + 3 + 615 + 41 = 666.

It is not a de Polignac number, because 10024361541 - 2¹⁵ = 10024328773 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024361591) 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, 4654921 + ... + 4657073.

It is an arithmetic number, because the mean of its divisors is an integer number (316030572).

Almost surely, 2^10024361541 is an apocalyptic number.

It is an amenable number.

10024361541 is a deficient number, since it is larger than the sum of its proper divisors (5145105915).

10024361541 is a wasteful number, since it uses less digits than its factorization.

10024361541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10024361541 in words is "ten billion, twenty-four million, three hundred sixty-one thousand, five hundred forty-one".