4025944448064 has 1792 divisors, whose sum is σ = 16389793382400. Its totient is φ = 937449676800.

The previous prime is 4025944448063. The next prime is 4025944448081. The reversal of 4025944448064 is 4608444495204.

4025944448064 is a `hidden beast` number, since 4 + 0 + 2 + 594 + 4 + 4 + 48 + 0 + 6 + 4 = 666.

4025944448064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4025944448064.

It is not an unprimeable number, because it can be changed into a prime (4025944448063) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3683388702 + ... + 3683389794.

Almost surely, 2^{4025944448064} is an apocalyptic number.

4025944448064 is a gapful number since it is divisible by the number (44) 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 4025944448064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8194896691200).

4025944448064 is an abundant number, since it is smaller than the sum of its proper divisors (12363848934336).

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

4025944448064 is a wasteful number, since it uses less digits than its factorization.

4025944448064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 4025944448064 in words is "four trillion, twenty-five billion, nine hundred forty-four million, four hundred forty-eight thousand, sixty-four".