4052981664 has 144 divisors (see below), whose sum is σ = 12233975040. Its totient is φ = 1304052480.

The previous prime is 4052981663. The next prime is 4052981717. The reversal of 4052981664 is 4661892504.

4052981664 is a `hidden beast` number, since 40 + 529 + 81 + 6 + 6 + 4 = 666.

4052981664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4052981663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10418782 + ... + 10419170.

It is an arithmetic number, because the mean of its divisors is an integer number (84958160).

Almost surely, 2^4052981664 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 4052981664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116987520).

4052981664 is an abundant number, since it is smaller than the sum of its proper divisors (8180993376).

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

4052981664 is an equidigital number, since it uses as much as digits as its factorization.

4052981664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4052981664 is about 63663.0321615300. The cubic root of 4052981664 is about 1594.3789295216.

The spelling of 4052981664 in words is "four billion, fifty-two million, nine hundred eighty-one thousand, six hundred sixty-four".