10014004400 has 180 divisors, whose sum is σ = 25192807200. Its totient is φ = 3824755200.

The previous prime is 10014004373. The next prime is 10014004447. The reversal of 10014004400 is 440041001.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41899481 + ... + 41899719.

It is an arithmetic number, because the mean of its divisors is an integer number (139960040).

Almost surely, 2^10014004400 is an apocalyptic number.

10014004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10014004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12596403600).

10014004400 is an abundant number, since it is smaller than the sum of its proper divisors (15178802800).

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

10014004400 is a wasteful number, since it uses less digits than its factorization.

10014004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10014004400 its reverse (440041001), we get a palindrome (10454045401).

The spelling of 10014004400 in words is "ten billion, fourteen million, four thousand, four hundred".