10400582424 has 16 divisors (see below), whose sum is σ = 26001456120. Its totient is φ = 3466860800.

The previous prime is 10400582393. The next prime is 10400582441. The reversal of 10400582424 is 42428500401.

10400582424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10400582424² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10400582391 and 10400582400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216678777 + ... + 216678824.

Almost surely, 2^10400582424 is an apocalyptic number.

It is an amenable number.

10400582424 is an abundant number, since it is smaller than the sum of its proper divisors (15600873696).

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

10400582424 is a wasteful number, since it uses less digits than its factorization.

10400582424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433357610 (or 433357606 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The spelling of 10400582424 in words is "ten billion, four hundred million, five hundred eighty-two thousand, four hundred twenty-four".