4054044960 has 288 divisors, whose sum is σ = 15861605760. Its totient is φ = 923664384.

The previous prime is 4054044947. The next prime is 4054044979. The reversal of 4054044960 is 694404504.

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, 5271456 + ... + 5272224.

It is an arithmetic number, because the mean of its divisors is an integer number (55075020).

Almost surely, 2^4054044960 is an apocalyptic number.

4054044960 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 4054044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7930802880).

4054044960 is an abundant number, since it is smaller than the sum of its proper divisors (11807560800).

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

4054044960 is a wasteful number, since it uses less digits than its factorization.

4054044960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4054044960 is about 63671.3825827585. The cubic root of 4054044960 is about 1594.5183452775.

The spelling of 4054044960 in words is "four billion, fifty-four million, forty-four thousand, nine hundred sixty".