313453034400 has 288 divisors, whose sum is σ = 1161438663168. Its totient is φ = 72684620800.

The previous prime is 313453034399. The next prime is 313453034407. The reversal of 313453034400 is 4430354313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (313453034407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349087 + ... + 865313.

It is an arithmetic number, because the mean of its divisors is an integer number (4032773136).

Almost surely, 2^313453034400 is an apocalyptic number.

313453034400 is a gapful number since it is divisible by the number (30) 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 313453034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580719331584).

313453034400 is an abundant number, since it is smaller than the sum of its proper divisors (847985628768).

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

313453034400 is a wasteful number, since it uses less digits than its factorization.

313453034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516284 (or 516271 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 313453034400 its reverse (4430354313), we get a palindrome (317883388713).

The spelling of 313453034400 in words is "three hundred thirteen billion, four hundred fifty-three million, thirty-four thousand, four hundred".