201330232400 has 120 divisors (see below), whose sum is σ = 530907356064. Its totient is φ = 72761587200.

The previous prime is 201330232391. The next prime is 201330232457. The reversal of 201330232400 is 4232033102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 576842 + ... + 857558.

Almost surely, 2^201330232400 is an apocalyptic number.

201330232400 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 201330232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265453678032).

201330232400 is an abundant number, since it is smaller than the sum of its proper divisors (329577123664).

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

201330232400 is a wasteful number, since it uses less digits than its factorization.

201330232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280909 (or 280898 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 201330232400 its reverse (4232033102), we get a palindrome (205562265502).

The spelling of 201330232400 in words is "two hundred one billion, three hundred thirty million, two hundred thirty-two thousand, four hundred".