4054809456 has 200 divisors, whose sum is σ = 12567350400. Its totient is φ = 1258312320.

The previous prime is 4054809443. The next prime is 4054809457. The reversal of 4054809456 is 6549084504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054809457) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1451421 + ... + 1454211.

It is an arithmetic number, because the mean of its divisors is an integer number (62836752).

Almost surely, 2^4054809456 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 4054809456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283675200).

4054809456 is an abundant number, since it is smaller than the sum of its proper divisors (8512540944).

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

4054809456 is a wasteful number, since it uses less digits than its factorization.

4054809456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 4054809456 is about 63677.3857503588. The cubic root of 4054809456 is about 1594.6185683297.

The spelling of 4054809456 in words is "four billion, fifty-four million, eight hundred nine thousand, four hundred fifty-six".