4057981344 has 144 divisors (see below), whose sum is σ = 12048341760. Its totient is φ = 1294064640.

The previous prime is 4057981309. The next prime is 4057981391. The reversal of 4057981344 is 4431897504.

4057981344 is a `hidden beast` number, since 40 + 579 + 8 + 1 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 4057981344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792039 + ... + 797145.

It is an arithmetic number, because the mean of its divisors is an integer number (83669040).

Almost surely, 2^4057981344 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 4057981344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024170880).

4057981344 is an abundant number, since it is smaller than the sum of its proper divisors (7990360416).

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

4057981344 is a wasteful number, since it uses less digits than its factorization.

4057981344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5243 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4057981344 is about 63702.2868035363. The cubic root of 4057981344 is about 1595.0342584925.

The spelling of 4057981344 in words is "four billion, fifty-seven million, nine hundred eighty-one thousand, three hundred forty-four".