200408245528320 has 1296 divisors, whose sum is σ = 732335962149792. Its totient is φ = 52535163617280.

The previous prime is 200408245528277. The next prime is 200408245528411. The reversal of 200408245528320 is 23825542804002.

200408245528320 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 0 + 82 + 45 + 528 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167986793644 + ... + 167986794836.

Almost surely, 2^{200408245528320} is an apocalyptic number.

200408245528320 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 200408245528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366167981074896).

200408245528320 is an abundant number, since it is smaller than the sum of its proper divisors (531927716621472).

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

200408245528320 is an frugal number, since it uses more digits than its factorization.

200408245528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 200408245528320 in words is "two hundred trillion, four hundred eight billion, two hundred forty-five million, five hundred twenty-eight thousand, three hundred twenty".