10314400313400 has 192 divisors, whose sum is σ = 33870711466080. Its totient is φ = 2587549286400.

The previous prime is 10314400313381. The next prime is 10314400313401. The reversal of 10314400313400 is 431300441301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10314400313401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22591380 + ... + 23043420.

Almost surely, 2^{10314400313400} is an apocalyptic number.

10314400313400 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 10314400313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16935355733040).

10314400313400 is an abundant number, since it is smaller than the sum of its proper divisors (23556311152680).

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

10314400313400 is a wasteful number, since it uses less digits than its factorization.

10314400313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454314 (or 454305 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10314400313400 its reverse (431300441301), we get a palindrome (10745700754701).

The spelling of 10314400313400 in words is "ten trillion, three hundred fourteen billion, four hundred million, three hundred thirteen thousand, four hundred".