4057465138816 has 32 divisors (see below), whose sum is σ = 8301697052580. Its totient is φ = 1973901957120.

The previous prime is 4057465138781. The next prime is 4057465138817. The reversal of 4057465138816 is 6188315647504.

It can be written as a sum of positive squares in 2 ways, for example, as 3403139457600 + 654325681216 = 1844760^2 + 808904^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (4057465138817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 428359405 + ... + 428368876.

Almost surely, 2^{4057465138816} is an apocalyptic number.

It is an amenable number.

4057465138816 is an abundant number, since it is smaller than the sum of its proper divisors (4244231913764).

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

4057465138816 is an equidigital number, since it uses as much as digits as its factorization.

4057465138816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856728332 (or 856728320 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 4057465138816 in words is "four trillion, fifty-seven billion, four hundred sixty-five million, one hundred thirty-eight thousand, eight hundred sixteen".