201438547200 has 1296 divisors, whose sum is σ = 857010772800. Its totient is φ = 44590694400.

The previous prime is 201438547157. The next prime is 201438547213. The reversal of 201438547200 is 2745834102.

It is a happy number.

201438547200 is a `hidden beast` number, since 20 + 14 + 385 + 47 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 349113312 + ... + 349113888.

Almost surely, 2^201438547200 is an apocalyptic number.

201438547200 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 201438547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428505386400).

201438547200 is an abundant number, since it is smaller than the sum of its proper divisors (655572225600).

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

201438547200 is a wasteful number, since it uses less digits than its factorization.

201438547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 201438547200 in words is "two hundred one billion, four hundred thirty-eight million, five hundred forty-seven thousand, two hundred".