4054845984 has 384 divisors, whose sum is σ = 13552261632. Its totient is φ = 1035141120.

The previous prime is 4054845943. The next prime is 4054845989. The reversal of 4054845984 is 4895484504.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (4054845989) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 22402374 + ... + 22402554.

It is an arithmetic number, because the mean of its divisors is an integer number (35292348).

Almost surely, 2^4054845984 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 4054845984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6776130816).

4054845984 is an abundant number, since it is smaller than the sum of its proper divisors (9497415648).

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

4054845984 is a wasteful number, since it uses less digits than its factorization.

4054845984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The square root of 4054845984 is about 63677.6725705329. The cubic root of 4054845984 is about 1594.6233567218.

The spelling of 4054845984 in words is "four billion, fifty-four million, eight hundred forty-five thousand, nine hundred eighty-four".