240239365779168 has 288 divisors, whose sum is σ = 822338983065600. Its totient is φ = 64990210249728.

The previous prime is 240239365779167. The next prime is 240239365779211. The reversal of 240239365779168 is 861977563932042.

It is a happy number.

240239365779168 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 3 + 9 + 36 + 577 + 9 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 240239365779096 and 240239365779105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240239365779167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65593930 + ... + 69159542.

It is an arithmetic number, because the mean of its divisors is an integer number (2855343691200).

It is a 1-persistent number, because it is pandigital, but 2⋅240239365779168 = 480478731558336 is not.

Almost surely, 2^{240239365779168} is an apocalyptic number.

240239365779168 is a gapful number since it is divisible by the number (28) 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 240239365779168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411169491532800).

240239365779168 is an abundant number, since it is smaller than the sum of its proper divisors (582099617286432).

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

240239365779168 is a wasteful number, since it uses less digits than its factorization.

240239365779168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567414 (or 3567403 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 240239365779168 in words is "two hundred forty trillion, two hundred thirty-nine billion, three hundred sixty-five million, seven hundred seventy-nine thousand, one hundred sixty-eight".