10014048400 has 30 divisors (see below), whose sum is σ = 24058752242. Its totient is φ = 4005619200.

The previous prime is 10014048397. The next prime is 10014048427. The reversal of 10014048400 is 484041001.

It can be written as a sum of positive squares in 3 ways, for example, as 58798224 + 9955250176 = 7668^2 + 99776^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12517161 + ... + 12517960.

Almost surely, 2^10014048400 is an apocalyptic number.

10014048400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014048400 is an abundant number, since it is smaller than the sum of its proper divisors (14044703842).

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

10014048400 is a wasteful number, since it uses less digits than its factorization.

10014048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25035139 (or 25035128 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10014048400 its reverse (484041001), we get a palindrome (10498089401).

The spelling of 10014048400 in words is "ten billion, fourteen million, forty-eight thousand, four hundred".