4004105466050 has 384 divisors, whose sum is σ = 8745357404160. Its totient is φ = 1354069094400.

The previous prime is 4004105466019. The next prime is 4004105466071. The reversal of 4004105466050 is 506645014004.

It is a self number, because there is not a number n which added to its sum of digits gives 4004105466050.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 4123692065 + ... + 4123693035.

It is an arithmetic number, because the mean of its divisors is an integer number (22774368240).

Almost surely, 2^{4004105466050} is an apocalyptic number.

4004105466050 is an abundant number, since it is smaller than the sum of its proper divisors (4741251938110).

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

4004105466050 is a wasteful number, since it uses less digits than its factorization.

4004105466050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 4004105466050 in words is "four trillion, four billion, one hundred five million, four hundred sixty-six thousand, fifty".