4057450016256 has 2560 divisors, whose sum is σ = 16702210990080. Its totient is φ = 941755465728.

The previous prime is 4057450016237. The next prime is 4057450016261. The reversal of 4057450016256 is 6526100547504.

4057450016256 is a `hidden beast` number, since 4 + 0 + 574 + 50 + 0 + 1 + 6 + 25 + 6 = 666.

4057450016256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35906637256 + ... + 35906637368.

It is an arithmetic number, because the mean of its divisors is an integer number (6524301168).

Almost surely, 2^{4057450016256} is an apocalyptic number.

4057450016256 is a gapful number since it is divisible by the number (46) 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 4057450016256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8351105495040).

4057450016256 is an abundant number, since it is smaller than the sum of its proper divisors (12644760973824).

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

4057450016256 is a wasteful number, since it uses less digits than its factorization.

4057450016256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 4057450016256 in words is "four trillion, fifty-seven billion, four hundred fifty million, sixteen thousand, two hundred fifty-six".