4057037683968 has 288 divisors, whose sum is σ = 11142383616000. Its totient is φ = 1310044889088.

The previous prime is 4057037683967. The next prime is 4057037683987. The reversal of 4057037683968 is 8693867307504.

It is a junction number, because it is equal to n+sod(n) for n = 4057037683899 and 4057037683908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057037683967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750327921 + ... + 750333327.

It is an arithmetic number, because the mean of its divisors is an integer number (38688832000).

Almost surely, 2^{4057037683968} is an apocalyptic number.

4057037683968 is a gapful number since it is divisible by the number (48) 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 4057037683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571191808000).

4057037683968 is an abundant number, since it is smaller than the sum of its proper divisors (7085345932032).

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

4057037683968 is a wasteful number, since it uses less digits than its factorization.

4057037683968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 4057037683968 in words is "four trillion, fifty-seven billion, thirty-seven million, six hundred eighty-three thousand, nine hundred sixty-eight".