200572335040 has 672 divisors, whose sum is σ = 635294176704. Its totient is φ = 59578122240.

The previous prime is 200572335017. The next prime is 200572335059. The reversal of 200572335040 is 40533275002.

200572335040 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 = 200572334993 and 200572335011.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 338232984 + ... + 338233576.

Almost surely, 2^200572335040 is an apocalyptic number.

200572335040 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 200572335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317647088352).

200572335040 is an abundant number, since it is smaller than the sum of its proper divisors (434721841664).

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

200572335040 is a wasteful number, since it uses less digits than its factorization.

200572335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 31.

The spelling of 200572335040 in words is "two hundred billion, five hundred seventy-two million, three hundred thirty-five thousand, forty".