4065819491916 has 384 divisors, whose sum is σ = 13290313809920. Its totient is φ = 1046400768000.

The previous prime is 4065819491893. The next prime is 4065819491927. The reversal of 4065819491916 is 6191949185604.

4065819491916 is a `hidden beast` number, since 4 + 0 + 6 + 58 + 1 + 9 + 491 + 91 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 76110816 + ... + 76164216.

Almost surely, 2^{4065819491916} 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 4065819491916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6645156904960).

4065819491916 is an abundant number, since it is smaller than the sum of its proper divisors (9224494318004).

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

4065819491916 is a wasteful number, since it uses less digits than its factorization.

4065819491916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53622 (or 53614 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 4065819491916 in words is "four trillion, sixty-five billion, eight hundred nineteen million, four hundred ninety-one thousand, nine hundred sixteen".