10034024004 has 36 divisors (see below), whose sum is σ = 25492551084. Its totient is φ = 3327694272.

The previous prime is 10034023991. The next prime is 10034024009. The reversal of 10034024004 is 40042043001.

It can be written as a sum of positive squares in 2 ways, for example, as 8667982404 + 1366041600 = 93102^2 + 36960^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10034024009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700327 + ... + 714510.

It is an arithmetic number, because the mean of its divisors is an integer number (708126419).

Almost surely, 2^10034024004 is an apocalyptic number.

It is an amenable number.

10034024004 is an abundant number, since it is smaller than the sum of its proper divisors (15458527080).

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

10034024004 is a wasteful number, since it uses less digits than its factorization.

10034024004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415044 (or 1415039 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10034024004 its reverse (40042043001), we get a palindrome (50076067005).

The spelling of 10034024004 in words is "ten billion, thirty-four million, twenty-four thousand, four".