4054961664 has 360 divisors, whose sum is σ = 13083662592. Its totient is φ = 1207664640.

The previous prime is 4054961653. The next prime is 4054961681. The reversal of 4054961664 is 4661694504.

It is a happy number.

4054961664 is a `hidden beast` number, since 40 + 549 + 6 + 1 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31928769 + ... + 31928895.

Almost surely, 2^4054961664 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 4054961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541831296).

4054961664 is an abundant number, since it is smaller than the sum of its proper divisors (9028700928).

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

4054961664 is a wasteful number, since it uses less digits than its factorization.

4054961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4054961664 is about 63678.5808887101. The cubic root of 4054961664 is about 1594.6385208223.

The spelling of 4054961664 in words is "four billion, fifty-four million, nine hundred sixty-one thousand, six hundred sixty-four".