201440040 has 64 divisors (see below), whose sum is σ = 608376960. Its totient is φ = 53356800.

The previous prime is 201440023. The next prime is 201440047. The reversal of 201440040 is 40044102.

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

It is not an unprimeable number, because it can be changed into a prime (201440047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12562 + ... + 23678.

It is an arithmetic number, because the mean of its divisors is an integer number (9505890).

Almost surely, 2^201440040 is an apocalyptic number.

201440040 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 201440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304188480).

201440040 is an abundant number, since it is smaller than the sum of its proper divisors (406936920).

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

201440040 is a wasteful number, since it uses less digits than its factorization.

201440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11282 (or 11278 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 201440040 is about 14192.9574085178. The cubic root of 201440040 is about 586.2037598989.

Adding to 201440040 its reverse (40044102), we get a palindrome (241484142).

The spelling of 201440040 in words is "two hundred one million, four hundred forty thousand, forty".