4057475481600 has 192 divisors, whose sum is σ = 13416522329280. Its totient is φ = 1081992806400.

The previous prime is 4057475481599. The next prime is 4057475481667. The reversal of 4057475481600 is 61845747504.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1632105 + ... + 3283095.

It is an arithmetic number, because the mean of its divisors is an integer number (69877720465).

Almost surely, 2^{4057475481600} is an apocalyptic number.

4057475481600 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 4057475481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708261164640).

4057475481600 is an abundant number, since it is smaller than the sum of its proper divisors (9359046847680).

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

4057475481600 is an equidigital number, since it uses as much as digits as its factorization.

4057475481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651034 (or 1651001 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 4057475481600 in words is "four trillion, fifty-seven billion, four hundred seventy-five million, four hundred eighty-one thousand, six hundred".