200311314132400 has 120 divisors (see below), whose sum is σ = 482114298716960. Its totient is φ = 79980375214080.

The previous prime is 200311314132337. The next prime is 200311314132421. The reversal of 200311314132400 is 4231413113002.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691086706 + ... + 691376494.

Almost surely, 2^{200311314132400} is an apocalyptic number.

200311314132400 is a gapful number since it is divisible by the number (20) 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 200311314132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241057149358480).

200311314132400 is an abundant number, since it is smaller than the sum of its proper divisors (281802984584560).

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

200311314132400 is a wasteful number, since it uses less digits than its factorization.

200311314132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292911 (or 292900 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 200311314132400 its reverse (4231413113002), we get a palindrome (204542727245402).

The spelling of 200311314132400 in words is "two hundred trillion, three hundred eleven billion, three hundred fourteen million, one hundred thirty-two thousand, four hundred".