200040946560 has 1152 divisors, whose sum is σ = 883352770560. Its totient is φ = 40801812480.

The previous prime is 200040946543. The next prime is 200040946561. The reversal of 200040946560 is 65649040002.

200040946560 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 4 + 0 + 94 + 6 + 560 = 666.

200040946560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200040946561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 211236007 + ... + 211236953.

It is an arithmetic number, because the mean of its divisors is an integer number (766799280).

Almost surely, 2^200040946560 is an apocalyptic number.

200040946560 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 200040946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441676385280).

200040946560 is an abundant number, since it is smaller than the sum of its proper divisors (683311824000).

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

200040946560 is a wasteful number, since it uses less digits than its factorization.

200040946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 200040946560 its reverse (65649040002), we get a palindrome (265689986562).

The spelling of 200040946560 in words is "two hundred billion, forty million, nine hundred forty-six thousand, five hundred sixty".