240045227613672 has 256 divisors, whose sum is σ = 701509745664000. Its totient is φ = 67819016613888.

The previous prime is 240045227613641. The next prime is 240045227613721. The reversal of 240045227613672 is 276316722540042.

240045227613672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×240045227613672³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24515104 + ... + 32879792.

It is an arithmetic number, because the mean of its divisors is an integer number (2740272444000).

Almost surely, 2^{240045227613672} 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 240045227613672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350754872832000).

240045227613672 is an abundant number, since it is smaller than the sum of its proper divisors (461464518050328).

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

240045227613672 is a wasteful number, since it uses less digits than its factorization.

240045227613672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8364880 (or 8364876 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 240045227613672 in words is "two hundred forty trillion, forty-five billion, two hundred twenty-seven million, six hundred thirteen thousand, six hundred seventy-two".