4057180416 has 81 divisors (see below), whose sum is σ = 11706673251. Its totient is φ = 1351374336.

The previous prime is 4057180411. The next prime is 4057180423. The reversal of 4057180416 is 6140817504.

It is a happy number.

The square root of 4057180416 is 63696.

It is a perfect power (a square), and thus also a powerful number.

4057180416 is a `hidden beast` number, since 4 + 0 + 571 + 80 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4057180411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3056745 + ... + 3058071.

Almost surely, 2^4057180416 is an apocalyptic number.

4057180416 is the 63696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4057180416

4057180416 is an abundant number, since it is smaller than the sum of its proper divisors (7649492835).

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

4057180416 is an frugal number, since it uses more digits than its factorization.

4057180416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The cubic root of 4057180416 is about 1594.9293137308.

Multiplying 4057180416 by its sum of digits (36), we get a square (146058494976 = 382176²).

4057180416 divided by its sum of digits (36) gives a square (112699456 = 10616²).

The spelling of 4057180416 in words is "four billion, fifty-seven million, one hundred eighty thousand, four hundred sixteen".