201130224430400 has 168 divisors, whose sum is σ = 503742355032960. Its totient is φ = 79024083712000.

The previous prime is 201130224430381. The next prime is 201130224430423. The reversal of 201130224430400 is 4034422031102.

201130224430400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201130224430400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27267485 + ... + 33849315.

Almost surely, 2^{201130224430400} is an apocalyptic number.

201130224430400 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 201130224430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251871177516480).

201130224430400 is an abundant number, since it is smaller than the sum of its proper divisors (302612130602560).

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

201130224430400 is a wasteful number, since it uses less digits than its factorization.

201130224430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582193 (or 6582178 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 201130224430400 its reverse (4034422031102), we get a palindrome (205164646461502).

The spelling of 201130224430400 in words is "two hundred one trillion, one hundred thirty billion, two hundred twenty-four million, four hundred thirty thousand, four hundred".