200170420416000 has 1920 divisors, whose sum is σ = 773324248080384. Its totient is φ = 49674240000000.

The previous prime is 200170420415989. The next prime is 200170420416013. The reversal of 200170420416000 is 614024071002.

200170420416000 is a `hidden beast` number, since 2 + 0 + 0 + 17 + 0 + 4 + 2 + 0 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×200170420416000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51978814075 + ... + 51978817925.

Almost surely, 2^{200170420416000} is an apocalyptic number.

200170420416000 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 200170420416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386662124040192).

200170420416000 is an abundant number, since it is smaller than the sum of its proper divisors (573153827664384).

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

200170420416000 is a wasteful number, since it uses less digits than its factorization.

200170420416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 200170420416000 its reverse (614024071002), we get a palindrome (200784444487002).

The spelling of 200170420416000 in words is "two hundred trillion, one hundred seventy billion, four hundred twenty million, four hundred sixteen thousand".