4054816800 has 288 divisors, whose sum is σ = 14787178560. Its totient is φ = 1072281600.

The previous prime is 4054816789. The next prime is 4054816817. The reversal of 4054816800 is 86184504.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828884 + ... + 2830316.

It is an arithmetic number, because the mean of its divisors is an integer number (51344370).

Almost surely, 2^4054816800 is an apocalyptic number.

4054816800 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 4054816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393589280).

4054816800 is an abundant number, since it is smaller than the sum of its proper divisors (10732361760).

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

4054816800 is a wasteful number, since it uses less digits than its factorization.

4054816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4054816800 is about 63677.4434160166. The cubic root of 4054816800 is about 1594.6195310443.

The spelling of 4054816800 in words is "four billion, fifty-four million, eight hundred sixteen thousand, eight hundred".