240401120 has 48 divisors (see below), whose sum is σ = 570075408. Its totient is φ = 95800320.

The previous prime is 240401047. The next prime is 240401149. The reversal of 240401120 is 21104042.

240401120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240401095 and 240401104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42287 + ... + 47633.

It is an arithmetic number, because the mean of its divisors is an integer number (11876571).

Almost surely, 2^240401120 is an apocalyptic number.

240401120 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 240401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285037704).

240401120 is an abundant number, since it is smaller than the sum of its proper divisors (329674288).

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

240401120 is a wasteful number, since it uses less digits than its factorization.

240401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5643 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 240401120 is about 15504.8740723683. The cubic root of 240401120 is about 621.7925232404.

Adding to 240401120 its reverse (21104042), we get a palindrome (261505162).

The spelling of 240401120 in words is "two hundred forty million, four hundred one thousand, one hundred twenty".