4057116384 has 24 divisors (see below), whose sum is σ = 10649930760. Its totient is φ = 1352372096.

The previous prime is 4057116347. The next prime is 4057116389. The reversal of 4057116384 is 4836117504.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×4057116384³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057116389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21130719 + ... + 21130910.

It is an arithmetic number, because the mean of its divisors is an integer number (443747115).

Almost surely, 2^4057116384 is an apocalyptic number.

It is an amenable number.

4057116384 is an abundant number, since it is smaller than the sum of its proper divisors (6592814376).

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

4057116384 is a wasteful number, since it uses less digits than its factorization.

4057116384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42261642 (or 42261634 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 4057116384 is about 63695.4973604885. The cubic root of 4057116384 is about 1594.9209230883.

The spelling of 4057116384 in words is "four billion, fifty-seven million, one hundred sixteen thousand, three hundred eighty-four".