201413041200 has 720 divisors, whose sum is σ = 824350904832. Its totient is φ = 44582400000.

The previous prime is 201413041189. The next prime is 201413041211. The reversal of 201413041200 is 2140314102.

201413041200 is a `hidden beast` number, since 20 + 141 + 304 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (201413041189) and next prime (201413041211).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156012555 + ... + 156013845.

Almost surely, 2^201413041200 is an apocalyptic number.

201413041200 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 201413041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412175452416).

201413041200 is an abundant number, since it is smaller than the sum of its proper divisors (622937863632).

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

201413041200 is a wasteful number, since it uses less digits than its factorization.

201413041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201413041200 its reverse (2140314102), we get a palindrome (203553355302).

The spelling of 201413041200 in words is "two hundred one billion, four hundred thirteen million, forty-one thousand, two hundred".