200457042240 has 1344 divisors, whose sum is σ = 860771390976. Its totient is φ = 38347997184.

The previous prime is 200457042209. The next prime is 200457042259. The reversal of 200457042240 is 42240754002.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 200457042198 and 200457042207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2745986844 + ... + 2745986916.

It is an arithmetic number, because the mean of its divisors is an integer number (640454904).

Almost surely, 2^200457042240 is an apocalyptic number.

200457042240 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 200457042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430385695488).

200457042240 is an abundant number, since it is smaller than the sum of its proper divisors (660314348736).

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

200457042240 is a wasteful number, since it uses less digits than its factorization.

200457042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

Adding to 200457042240 its reverse (42240754002), we get a palindrome (242697796242).

The spelling of 200457042240 in words is "two hundred billion, four hundred fifty-seven million, forty-two thousand, two hundred forty".