201332040 has 256 divisors, whose sum is σ = 754790400. Its totient is φ = 41831424.

The previous prime is 201331997. The next prime is 201332057. The reversal of 201332040 is 40233102.

201332040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1124671 + ... + 1124849.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^201332040 is an apocalyptic number.

201332040 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 201332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

201332040 is an abundant number, since it is smaller than the sum of its proper divisors (553458360).

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

201332040 is a wasteful number, since it uses less digits than its factorization.

201332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 201332040 is about 14189.1521945464. The cubic root of 201332040 is about 586.0989788041.

Adding to 201332040 its reverse (40233102), we get a palindrome (241565142).

The spelling of 201332040 in words is "two hundred one million, three hundred thirty-two thousand, forty".