10004321440 has 48 divisors (see below), whose sum is σ = 24211693800. Its totient is φ = 3904122880.

The previous prime is 10004321423. The next prime is 10004321443. The reversal of 10004321440 is 4412340001.

It can be written as a sum of positive squares in 4 ways, for example, as 8326927504 + 1677393936 = 91252^2 + 40956^2 .

It is a super-3 number, since 3×10004321440³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10004321443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 755965 + ... + 769084.

Almost surely, 2^10004321440 is an apocalyptic number.

10004321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004321440 is an abundant number, since it is smaller than the sum of its proper divisors (14207372360).

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

10004321440 is a wasteful number, since it uses less digits than its factorization.

10004321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525105 (or 1525097 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10004321440 its reverse (4412340001), we get a palindrome (14416661441).

The spelling of 10004321440 in words is "ten billion, four million, three hundred twenty-one thousand, four hundred forty".