10303314144400 has 60 divisors (see below), whose sum is σ = 25552219108864. Its totient is φ = 3988379664000.

The previous prime is 10303314144391. The next prime is 10303314144401. The reversal of 10303314144400 is 444141330301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10303314144401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 415443816 + ... + 415468615.

Almost surely, 2^{10303314144400} is an apocalyptic number.

10303314144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10303314144400 is an abundant number, since it is smaller than the sum of its proper divisors (15248904964464).

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

10303314144400 is a wasteful number, since it uses less digits than its factorization.

10303314144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830912480 (or 830912469 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10303314144400 its reverse (444141330301), we get a palindrome (10747455474701).

The spelling of 10303314144400 in words is "ten trillion, three hundred three billion, three hundred fourteen million, one hundred forty-four thousand, four hundred".