4106482591680 has 896 divisors, whose sum is σ = 17446361856000. Its totient is φ = 888270520320.

The previous prime is 4106482591639. The next prime is 4106482591709. The reversal of 4106482591680 is 861952846014.

4106482591680 is a `hidden beast` number, since 4 + 1 + 0 + 6 + 48 + 2 + 591 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1848932970 + ... + 1848935190.

It is an arithmetic number, because the mean of its divisors is an integer number (19471386000).

Almost surely, 2^{4106482591680} is an apocalyptic number.

4106482591680 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 4106482591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8723180928000).

4106482591680 is an abundant number, since it is smaller than the sum of its proper divisors (13339879264320).

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

4106482591680 is a wasteful number, since it uses less digits than its factorization.

4106482591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4106482591680 in words is "four trillion, one hundred six billion, four hundred eighty-two million, five hundred ninety-one thousand, six hundred eighty".