10314331422400 has 84 divisors (see below), whose sum is σ = 25418570643072. Its totient is φ = 4119414031360.

The previous prime is 10314331422349. The next prime is 10314331422407. The reversal of 10314331422400 is 422413341301.

It is a happy number.

It is a super-2 number, since 2×10314331422400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10314331422407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3891232 + ... + 5980831.

Almost surely, 2^{10314331422400} is an apocalyptic number.

10314331422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10314331422400 is an abundant number, since it is smaller than the sum of its proper divisors (15104239220672).

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

10314331422400 is an equidigital number, since it uses as much as digits as its factorization.

10314331422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9872738 (or 9872723 counting only the distinct ones).

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

Adding to 10314331422400 its reverse (422413341301), we get a palindrome (10736744763701).

The spelling of 10314331422400 in words is "ten trillion, three hundred fourteen billion, three hundred thirty-one million, four hundred twenty-two thousand, four hundred".