240072120288 has 1152 divisors, whose sum is σ = 989341516800. Its totient is φ = 53150515200.

The previous prime is 240072120251. The next prime is 240072120313. The reversal of 240072120288 is 882021270042.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 224575818 + ... + 224576886.

It is an arithmetic number, because the mean of its divisors is an integer number (858803400).

Almost surely, 2^240072120288 is an apocalyptic number.

240072120288 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 240072120288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494670758400).

240072120288 is an abundant number, since it is smaller than the sum of its proper divisors (749269396512).

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

240072120288 is a wasteful number, since it uses less digits than its factorization.

240072120288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 240072120288 in words is "two hundred forty billion, seventy-two million, one hundred twenty thousand, two hundred eighty-eight".