240720401844 has 216 divisors, whose sum is σ = 691726718592. Its totient is φ = 70416403200.

The previous prime is 240720401839. The next prime is 240720401891. The reversal of 240720401844 is 448104027042.

240720401844 is a `hidden beast` number, since 2 + 407 + 204 + 0 + 1 + 8 + 44 = 666.

240720401844 is digitally balanced in base 7, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 240720401799 and 240720401808.

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 71 ways as a sum of consecutive naturals, for example, 23363494 + ... + 23373794.

It is an arithmetic number, because the mean of its divisors is an integer number (3202438512).

Almost surely, 2^240720401844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240720401844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345863359296).

240720401844 is an abundant number, since it is smaller than the sum of its proper divisors (451006316748).

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

240720401844 is a wasteful number, since it uses less digits than its factorization.

240720401844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

Adding to 240720401844 its reverse (448104027042), we get a palindrome (688824428886).

The spelling of 240720401844 in words is "two hundred forty billion, seven hundred twenty million, four hundred one thousand, eight hundred forty-four".