205020341202400 has 288 divisors, whose sum is σ = 517636924116480. Its totient is φ = 79246675845120.

The previous prime is 205020341202389. The next prime is 205020341202401. The reversal of 205020341202400 is 4202143020502.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205020341202401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5202353896 + ... + 5202393304.

It is an arithmetic number, because the mean of its divisors is an integer number (1797350430960).

Almost surely, 2^{205020341202400} is an apocalyptic number.

205020341202400 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 205020341202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258818462058240).

205020341202400 is an abundant number, since it is smaller than the sum of its proper divisors (312616582914080).

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

205020341202400 is a wasteful number, since it uses less digits than its factorization.

205020341202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41226 (or 41213 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 205020341202400 its reverse (4202143020502), we get a palindrome (209222484222902).

The spelling of 205020341202400 in words is "two hundred five trillion, twenty billion, three hundred forty-one million, two hundred two thousand, four hundred".