201405045200 has 120 divisors (see below), whose sum is σ = 526186547352. Its totient is φ = 73773711360.

The previous prime is 201405045199. The next prime is 201405045253. The reversal of 201405045200 is 2540504102.

It is a happy number.

201405045200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 679540624 + 200725504576 = 26068^2 + 448024^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148649 + ... + 651848.

Almost surely, 2^201405045200 is an apocalyptic number.

201405045200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201405045200 is an abundant number, since it is smaller than the sum of its proper divisors (324781502152).

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

201405045200 is a wasteful number, since it uses less digits than its factorization.

201405045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800569 (or 800558 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 201405045200 its reverse (2540504102), we get a palindrome (203945549302).

The spelling of 201405045200 in words is "two hundred one billion, four hundred five million, forty-five thousand, two hundred".