201314044400 has 120 divisors (see below), whose sum is σ = 571811452320. Its totient is φ = 66641863680.

The previous prime is 201314044357. The next prime is 201314044433. The reversal of 201314044400 is 4440413102.

It is a happy number.

201314044400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1158419 + ... + 1320818.

It is an arithmetic number, because the mean of its divisors is an integer number (4765095436).

Almost surely, 2^201314044400 is an apocalyptic number.

201314044400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201314044400 is an abundant number, since it is smaller than the sum of its proper divisors (370497407920).

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

201314044400 is a wasteful number, since it uses less digits than its factorization.

201314044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479291 (or 2479280 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 201314044400 its reverse (4440413102), we get a palindrome (205754457502).

The spelling of 201314044400 in words is "two hundred one billion, three hundred fourteen million, forty-four thousand, four hundred".