240401145600 has 1296 divisors, whose sum is σ = 1088907805440. Its totient is φ = 49147084800.

The previous prime is 240401145599. The next prime is 240401145601. The reversal of 240401145600 is 6541104042.

240401145600 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 0 + 11 + 45 + 600 = 666.

240401145600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240401145599) and next prime (240401145601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240401145601) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 297157996 + ... + 297158804.

It is an arithmetic number, because the mean of its divisors is an integer number (840206640).

Almost surely, 2^240401145600 is an apocalyptic number.

240401145600 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 240401145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544453902720).

240401145600 is an abundant number, since it is smaller than the sum of its proper divisors (848506659840).

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

240401145600 is a wasteful number, since it uses less digits than its factorization.

240401145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 240401145600 its reverse (6541104042), we get a palindrome (246942249642).

The spelling of 240401145600 in words is "two hundred forty billion, four hundred one million, one hundred forty-five thousand, six hundred".