10314342400 has 84 divisors (see below), whose sum is σ = 25578515772. Its totient is φ = 4125655040.

The previous prime is 10314342347. The next prime is 10314342421. The reversal of 10314342400 is 424341301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 179619 + ... + 229981.

Almost surely, 2^10314342400 is an apocalyptic number.

10314342400 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 10314342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789257886).

10314342400 is an abundant number, since it is smaller than the sum of its proper divisors (15264173372).

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

10314342400 is an frugal number, since it uses more digits than its factorization.

10314342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50399 (or 50370 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10314342400 its reverse (424341301), we get a palindrome (10738683701).

The spelling of 10314342400 in words is "ten billion, three hundred fourteen million, three hundred forty-two thousand, four hundred".