201032144040 has 512 divisors, whose sum is σ = 783182131200. Its totient is φ = 40088494080.

The previous prime is 201032143979. The next prime is 201032144057. The reversal of 201032144040 is 40441230102.

201032144040 is digitally balanced in base 2, 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 201032143998 and 201032144016.

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 127 ways as a sum of consecutive naturals, for example, 116810380 + ... + 116812100.

It is an arithmetic number, because the mean of its divisors is an integer number (1529652600).

Almost surely, 2^201032144040 is an apocalyptic number.

201032144040 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 201032144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391591065600).

201032144040 is an abundant number, since it is smaller than the sum of its proper divisors (582149987160).

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

201032144040 is a wasteful number, since it uses less digits than its factorization.

201032144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 201032144040 its reverse (40441230102), we get a palindrome (241473374142).

The spelling of 201032144040 in words is "two hundred one billion, thirty-two million, one hundred forty-four thousand, forty".