4006414604775 has 48 divisors (see below), whose sum is σ = 7226476225920. Its totient is φ = 1942406966400.

The previous prime is 4006414604747. The next prime is 4006414604783. The reversal of 4006414604775 is 5774064146004.

It is not a de Polignac number, because 4006414604775 - 2¹⁴ = 4006414588391 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18042121 + ... + 18262829.

It is an arithmetic number, because the mean of its divisors is an integer number (150551588040).

Almost surely, 2^{4006414604775} is an apocalyptic number.

4006414604775 is a deficient number, since it is larger than the sum of its proper divisors (3220061621145).

4006414604775 is a wasteful number, since it uses less digits than its factorization.

4006414604775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242736 (or 242731 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 4006414604775 in words is "four trillion, six billion, four hundred fourteen million, six hundred four thousand, seven hundred seventy-five".