4057778592 has 360 divisors, whose sum is σ = 14224152096. Its totient is φ = 1130879232.

The previous prime is 4057778531. The next prime is 4057778597. The reversal of 4057778592 is 2958777504.

It is a happy number.

4057778592 is a `hidden beast` number, since 40 + 5 + 7 + 7 + 7 + 8 + 592 = 666.

4057778592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4057778597) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5460973 + ... + 5461715.

Almost surely, 2^4057778592 is an apocalyptic number.

4057778592 is a gapful number since it is divisible by the number (42) 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 4057778592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112076048).

4057778592 is an abundant number, since it is smaller than the sum of its proper divisors (10166373504).

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

4057778592 is a wasteful number, since it uses less digits than its factorization.

4057778592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The square root of 4057778592 is about 63700.6953808198. The cubic root of 4057778592 is about 1595.0076934145.

The spelling of 4057778592 in words is "four billion, fifty-seven million, seven hundred seventy-eight thousand, five hundred ninety-two".