4059628162065 has 32 divisors (see below), whose sum is σ = 8248133410560. Its totient is φ = 1855830016512.

The previous prime is 4059628162021. The next prime is 4059628162097. The reversal of 4059628162065 is 5602618269504.

4059628162065 is a `hidden beast` number, since 4 + 0 + 5 + 9 + 6 + 2 + 8 + 1 + 620 + 6 + 5 = 666.

It is not a de Polignac number, because 4059628162065 - 2⁶ = 4059628162001 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2147950464 + ... + 2147952353.

It is an arithmetic number, because the mean of its divisors is an integer number (257754169080).

Almost surely, 2^{4059628162065} is an apocalyptic number.

4059628162065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4059628162065 is an abundant number, since it is smaller than the sum of its proper divisors (4188505248495).

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

4059628162065 is a wasteful number, since it uses less digits than its factorization.

4059628162065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295902838 (or 4295902832 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 4059628162065 in words is "four trillion, fifty-nine billion, six hundred twenty-eight million, one hundred sixty-two thousand, sixty-five".