200105525440 has 112 divisors (see below), whose sum is σ = 502435185120. Its totient is φ = 75700224000.

The previous prime is 200105525371. The next prime is 200105525443. The reversal of 200105525440 is 44525501002.

It is a junction number, because it is equal to n+sod(n) for n = 200105525399 and 200105525408.

It is not an unprimeable number, because it can be changed into a prime (200105525443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3577690 + ... + 3633190.

Almost surely, 2^200105525440 is an apocalyptic number.

200105525440 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 200105525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251217592560).

200105525440 is an abundant number, since it is smaller than the sum of its proper divisors (302329659680).

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

200105525440 is a wasteful number, since it uses less digits than its factorization.

200105525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56130 (or 56120 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The spelling of 200105525440 in words is "two hundred billion, one hundred five million, five hundred twenty-five thousand, four hundred forty".