4054066560 has 192 divisors, whose sum is σ = 14091508080. Its totient is φ = 1073958912.

The previous prime is 4054066553. The next prime is 4054066589. The reversal of 4054066560 is 656604504.

It is a happy number.

4054066560 is a `hidden beast` number, since 4 + 0 + 540 + 66 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 902079 + ... + 906561.

Almost surely, 2^4054066560 is an apocalyptic number.

4054066560 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 4054066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045754040).

4054066560 is an abundant number, since it is smaller than the sum of its proper divisors (10037441520).

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

4054066560 is a wasteful number, since it uses less digits than its factorization.

4054066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4054066560 is about 63671.5522034762. The cubic root of 4054066560 is about 1594.5211771434.

The spelling of 4054066560 in words is "four billion, fifty-four million, sixty-six thousand, five hundred sixty".