4054385664 has 220 divisors, whose sum is σ = 13838768064. Its totient is φ = 1158230016.

The previous prime is 4054385663. The next prime is 4054385683. The reversal of 4054385664 is 4665834504.

4054385664 is a `hidden beast` number, since 4 + 0 + 54 + 38 + 566 + 4 = 666.

It is a super-2 number, since 2×4054385664² = 32876086224897441792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4054385663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 577117 + ... + 584099.

Almost surely, 2^4054385664 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 4054385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919384032).

4054385664 is an abundant number, since it is smaller than the sum of its proper divisors (9784382400).

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

4054385664 is an equidigital number, since it uses as much as digits as its factorization.

4054385664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7022 (or 6995 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 4054385664 is about 63674.0580142337. The cubic root of 4054385664 is about 1594.5630120704.

The spelling of 4054385664 in words is "four billion, fifty-four million, three hundred eighty-five thousand, six hundred sixty-four".