1002400841 has 48 divisors (see below), whose sum is σ = 1214478720. Its totient is φ = 819590400.

The previous prime is 1002400831. The next prime is 1002400843. The reversal of 1002400841 is 1480042001.

It is not a de Polignac number, because 1002400841 - 2²⁶ = 935291977 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 (1002400843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9731996 + ... + 9732098.

It is an arithmetic number, because the mean of its divisors is an integer number (25301640).

Almost surely, 2^1002400841 is an apocalyptic number.

It is an amenable number.

1002400841 is a deficient number, since it is larger than the sum of its proper divisors (212077879).

1002400841 is a wasteful number, since it uses less digits than its factorization.

1002400841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1002400841 is about 31660.7144739344. The cubic root of 1002400841 is about 1000.7996407376.

Adding to 1002400841 its reverse (1480042001), we get a palindrome (2482442842).

The spelling of 1002400841 in words is "one billion, two million, four hundred thousand, eight hundred forty-one".