10012314400 has 144 divisors (see below), whose sum is σ = 26887841568. Its totient is φ = 3640454400.

The previous prime is 10012314353. The next prime is 10012314401. The reversal of 10012314400 is 441321001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10012314401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060099 + ... + 1069501.

It is an arithmetic number, because the mean of its divisors is an integer number (186721122).

Almost surely, 2^10012314400 is an apocalyptic number.

10012314400 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 10012314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13443920784).

10012314400 is an abundant number, since it is smaller than the sum of its proper divisors (16875527168).

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

10012314400 is an equidigital number, since it uses as much as digits as its factorization.

10012314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9456 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10012314400 its reverse (441321001), we get a palindrome (10453635401).

The spelling of 10012314400 in words is "ten billion, twelve million, three hundred fourteen thousand, four hundred".