4057033448160 has 384 divisors, whose sum is σ = 17703420134400. Its totient is φ = 843019868160.

The previous prime is 4057033448159. The next prime is 4057033448179. The reversal of 4057033448160 is 618443307504.

4057033448160 is a `hidden beast` number, since 4 + 0 + 570 + 3 + 34 + 48 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5765595 + ... + 6430874.

It is an arithmetic number, because the mean of its divisors is an integer number (46102656600).

Almost surely, 2^{4057033448160} is an apocalyptic number.

4057033448160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4057033448160 is an abundant number, since it is smaller than the sum of its proper divisors (13646386686240).

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

4057033448160 is a wasteful number, since it uses less digits than its factorization.

4057033448160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196511 (or 12196497 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4057033448160 in words is "four trillion, fifty-seven billion, thirty-three million, four hundred forty-eight thousand, one hundred sixty".