240028311072 has 192 divisors, whose sum is σ = 728268153984. Its totient is φ = 68411965440.

The previous prime is 240028311071. The next prime is 240028311097. The reversal of 240028311072 is 270113820042.

It is a super-4 number, since 4×240028311072⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (240028311071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34697758 + ... + 34704674.

It is an arithmetic number, because the mean of its divisors is an integer number (3793063302).

Almost surely, 2^240028311072 is an apocalyptic number.

240028311072 is a gapful number since it is divisible by the number (22) 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 240028311072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364134076992).

240028311072 is an abundant number, since it is smaller than the sum of its proper divisors (488239842912).

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

240028311072 is a wasteful number, since it uses less digits than its factorization.

240028311072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8891 (or 8883 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 240028311072 in words is "two hundred forty billion, twenty-eight million, three hundred eleven thousand, seventy-two".