200314200431400 has 192 divisors, whose sum is σ = 677434437849600. Its totient is φ = 48560428128000.

The previous prime is 200314200431383. The next prime is 200314200431431. The reversal of 200314200431400 is 4134002413002.

It is a super-3 number, since 3×200314200431400³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817690131 + ... + 817935069.

It is an arithmetic number, because the mean of its divisors is an integer number (3528304363800).

Almost surely, 2^{200314200431400} is an apocalyptic number.

200314200431400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200314200431400 is an abundant number, since it is smaller than the sum of its proper divisors (477120237418200).

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

200314200431400 is a wasteful number, since it uses less digits than its factorization.

200314200431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368880 (or 368871 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 200314200431400 its reverse (4134002413002), we get a palindrome (204448202844402).

The spelling of 200314200431400 in words is "two hundred trillion, three hundred fourteen billion, two hundred million, four hundred thirty-one thousand, four hundred".