4057068163200 has 768 divisors, whose sum is σ = 14799479439360. Its totient is φ = 970544332800.

The previous prime is 4057068163193. The next prime is 4057068163201. The reversal of 4057068163200 is 23618607504.

It is not an unprimeable number, because it can be changed into a prime (4057068163201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1132308609 + ... + 1132312191.

It is an arithmetic number, because the mean of its divisors is an integer number (19270155520).

Almost surely, 2^{4057068163200} is an apocalyptic number.

4057068163200 is a gapful number since it is divisible by the number (40) 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 4057068163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399739719680).

4057068163200 is an abundant number, since it is smaller than the sum of its proper divisors (10742411276160).

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

4057068163200 is a wasteful number, since it uses less digits than its factorization.

4057068163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 4057068163200 in words is "four trillion, fifty-seven billion, sixty-eight million, one hundred sixty-three thousand, two hundred".