200014214331040 has 192 divisors, whose sum is σ = 502323699104640. Its totient is φ = 75045922467840.

The previous prime is 200014214331037. The next prime is 200014214331083. The reversal of 200014214331040 is 40133412410002.

200014214331040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200014214330996 and 200014214331014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605180874 + ... + 605511286.

It is an arithmetic number, because the mean of its divisors is an integer number (2616269266170).

Almost surely, 2^{200014214331040} is an apocalyptic number.

200014214331040 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 200014214331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251161849552320).

200014214331040 is an abundant number, since it is smaller than the sum of its proper divisors (302309484773600).

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

200014214331040 is a wasteful number, since it uses less digits than its factorization.

200014214331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332415 (or 332407 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 200014214331040 its reverse (40133412410002), we get a palindrome (240147626741042).

The spelling of 200014214331040 in words is "two hundred trillion, fourteen billion, two hundred fourteen million, three hundred thirty-one thousand, forty".