201243500130400 has 432 divisors, whose sum is σ = 615677819097600. Its totient is φ = 62884021524480.

The previous prime is 201243500130377. The next prime is 201243500130419. The reversal of 201243500130400 is 4031005342102.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 73419771 + ... + 76111429.

It is an arithmetic number, because the mean of its divisors is an integer number (1425180136800).

Almost surely, 2^{201243500130400} is an apocalyptic number.

201243500130400 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 201243500130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307838909548800).

201243500130400 is an abundant number, since it is smaller than the sum of its proper divisors (414434318967200).

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

201243500130400 is a wasteful number, since it uses less digits than its factorization.

201243500130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691791 (or 2691765 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 201243500130400 its reverse (4031005342102), we get a palindrome (205274505472502).

The spelling of 201243500130400 in words is "two hundred one trillion, two hundred forty-three billion, five hundred million, one hundred thirty thousand, four hundred".