4054523904 has 224 divisors, whose sum is σ = 12550688640. Its totient is φ = 1291124736.

The previous prime is 4054523897. The next prime is 4054523911. The reversal of 4054523904 is 4093254504.

It is a happy number.

4054523904 is a `hidden beast` number, since 4 + 0 + 545 + 23 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4054523897) and next prime (4054523911).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5086834 + ... + 5087630.

It is an arithmetic number, because the mean of its divisors is an integer number (56029860).

Almost surely, 2^4054523904 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 4054523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6275344320).

4054523904 is an abundant number, since it is smaller than the sum of its proper divisors (8496164736).

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

4054523904 is an equidigital number, since it uses as much as digits as its factorization.

4054523904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 825 counting only the distinct ones).

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

The square root of 4054523904 is about 63675.1435334071. The cubic root of 4054523904 is about 1594.5811348231.

The spelling of 4054523904 in words is "four billion, fifty-four million, five hundred twenty-three thousand, nine hundred four".