4076916906690 has 448 divisors, whose sum is σ = 12232172568960. Its totient is φ = 973139650560.

The previous prime is 4076916906677. The next prime is 4076916906701. The reversal of 4076916906690 is 966096196704.

4076916906690 is a `hidden beast` number, since 407 + 6 + 9 + 169 + 0 + 6 + 69 + 0 = 666.

It is a super-2 number, since 2×4076916906690² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 240787525 + ... + 240804455.

Almost surely, 2^{4076916906690} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4076916906690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116086284480).

4076916906690 is an abundant number, since it is smaller than the sum of its proper divisors (8155255662270).

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

4076916906690 is a wasteful number, since it uses less digits than its factorization.

4076916906690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17069 (or 17054 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 4076916906690 in words is "four trillion, seventy-six billion, nine hundred sixteen million, nine hundred six thousand, six hundred ninety".