4057728953824 has 720 divisors, whose sum is σ = 10571347765440. Its totient is φ = 1531167805440.

The previous prime is 4057728953809. The next prime is 4057728953869. The reversal of 4057728953824 is 4283598277504.

It is a super-2 number, since 2×4057728953824² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37226871082 + ... + 37226871190.

It is an arithmetic number, because the mean of its divisors is an integer number (14682427452).

Almost surely, 2^{4057728953824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4057728953824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285673882720).

4057728953824 is an abundant number, since it is smaller than the sum of its proper divisors (6513618811616).

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

4057728953824 is a wasteful number, since it uses less digits than its factorization.

4057728953824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 64.

The spelling of 4057728953824 in words is "four trillion, fifty-seven billion, seven hundred twenty-eight million, nine hundred fifty-three thousand, eight hundred twenty-four".