4057683104160 has 1152 divisors, whose sum is σ = 17788900147200. Its totient is φ = 820956487680.

The previous prime is 4057683104147. The next prime is 4057683104177. The reversal of 4057683104160 is 614013867504.

4057683104160 is a `hidden beast` number, since 4 + 0 + 576 + 8 + 3 + 10 + 4 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172164697 + ... + 172188263.

It is an arithmetic number, because the mean of its divisors is an integer number (15441753600).

Almost surely, 2^{4057683104160} is an apocalyptic number.

4057683104160 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 4057683104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8894450073600).

4057683104160 is an abundant number, since it is smaller than the sum of its proper divisors (13731217043040).

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

4057683104160 is a wasteful number, since it uses less digits than its factorization.

4057683104160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23674 (or 23663 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4057683104160 in words is "four trillion, fifty-seven billion, six hundred eighty-three million, one hundred four thousand, one hundred sixty".