10014400424 has 32 divisors (see below), whose sum is σ = 21463012800. Its totient is φ = 4291169280.

The previous prime is 10014400411. The next prime is 10014400447. The reversal of 10014400424 is 42400441001.

It is a happy number.

It is a super-2 number, since 2×10014400424² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10014400396 and 10014400405.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 453512 + ... + 475080.

It is an arithmetic number, because the mean of its divisors is an integer number (670719150).

Almost surely, 2^10014400424 is an apocalyptic number.

10014400424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10014400424 is an abundant number, since it is smaller than the sum of its proper divisors (11448612376).

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

10014400424 is a wasteful number, since it uses less digits than its factorization.

10014400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29873 (or 29869 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10014400424 its reverse (42400441001), we get a palindrome (52414841425).

The spelling of 10014400424 in words is "ten billion, fourteen million, four hundred thousand, four hundred twenty-four".