200142400000 has 240 divisors, whose sum is σ = 507567326112. Its totient is φ = 78819840000.

The previous prime is 200142399973. The next prime is 200142400019. The reversal of 200142400000 is 4241002.

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, 107199067 + ... + 107200933.

Almost surely, 2^200142400000 is an apocalyptic number.

200142400000 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 200142400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253783663056).

200142400000 is an abundant number, since it is smaller than the sum of its proper divisors (307424926112).

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

200142400000 is an frugal number, since it uses more digits than its factorization.

200142400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 200142400000 its reverse (4241002), we get a palindrome (200146641002).

The spelling of 200142400000 in words is "two hundred billion, one hundred forty-two million, four hundred thousand".