4240256700960 has 720 divisors, whose sum is σ = 17778271319424. Its totient is φ = 948573545472.

The previous prime is 4240256700923. The next prime is 4240256700997. The reversal of 4240256700960 is 690076520424.

4240256700960 is a `hidden beast` number, since 4 + 24 + 0 + 2 + 567 + 0 + 0 + 9 + 60 = 666.

4240256700960 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 (4240256700923) and next prime (4240256700997).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29775847 + ... + 29917913.

Almost surely, 2^{4240256700960} is an apocalyptic number.

4240256700960 is a gapful number since it is divisible by the number (40) 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 4240256700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8889135659712).

4240256700960 is an abundant number, since it is smaller than the sum of its proper divisors (13538014618464).

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

4240256700960 is a wasteful number, since it uses less digits than its factorization.

4240256700960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142155 (or 142131 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 4240256700960 in words is "four trillion, two hundred forty billion, two hundred fifty-six million, seven hundred thousand, nine hundred sixty".