201030320400 has 720 divisors, whose sum is σ = 817185196800. Its totient is φ = 41865707520.

The previous prime is 201030320357. The next prime is 201030320419. The reversal of 201030320400 is 4023030102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201030320400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60385936 + ... + 60389264.

It is an arithmetic number, because the mean of its divisors is an integer number (1134979440).

Almost surely, 2^201030320400 is an apocalyptic number.

201030320400 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 201030320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408592598400).

201030320400 is an abundant number, since it is smaller than the sum of its proper divisors (616154876400).

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

201030320400 is a wasteful number, since it uses less digits than its factorization.

201030320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 201030320400 its reverse (4023030102), we get a palindrome (205053350502).

The spelling of 201030320400 in words is "two hundred one billion, thirty million, three hundred twenty thousand, four hundred".