200131504400000 has 384 divisors, whose sum is σ = 501860353100400. Its totient is φ = 79489105920000.

The previous prime is 200131504399963. The next prime is 200131504400099. The reversal of 200131504400000 is 4405131002.

It can be written as a sum of positive squares in 24 ways, for example, as 183427150686784 + 16704353713216 = 13543528^2 + 4087096^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 47323597886 + ... + 47323602114.

Almost surely, 2^{200131504400000} is an apocalyptic number.

200131504400000 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 200131504400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250930176550200).

200131504400000 is an abundant number, since it is smaller than the sum of its proper divisors (301728848700400).

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

200131504400000 is an frugal number, since it uses more digits than its factorization.

200131504400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 200131504400000 its reverse (4405131002), we get a palindrome (200135909531002).

The spelling of 200131504400000 in words is "two hundred trillion, one hundred thirty-one billion, five hundred four million, four hundred thousand".