200202413040 has 240 divisors, whose sum is σ = 778124006400. Its totient is φ = 45181214208.

The previous prime is 200202413029. The next prime is 200202413041. The reversal of 200202413040 is 40314202002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200202413041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 146751 + ... + 649569.

It is an arithmetic number, because the mean of its divisors is an integer number (3242183360).

Almost surely, 2^200202413040 is an apocalyptic number.

200202413040 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 200202413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389062003200).

200202413040 is an abundant number, since it is smaller than the sum of its proper divisors (577921593360).

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

200202413040 is a wasteful number, since it uses less digits than its factorization.

200202413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502924 (or 502915 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 200202413040 its reverse (40314202002), we get a palindrome (240516615042).

The spelling of 200202413040 in words is "two hundred billion, two hundred two million, four hundred thirteen thousand, forty".