4013794473664 has 112 divisors (see below), whose sum is σ = 8049747212640. Its totient is φ = 1985661296640.

The previous prime is 4013794473659. The next prime is 4013794473673. The reversal of 4013794473664 is 4663744973104.

It is a super-3 number, since 3×4013794473664³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4013794473599 and 4013794473608.

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 15 ways as a sum of consecutive naturals, for example, 2013945052 + ... + 2013947044.

It is an arithmetic number, because the mean of its divisors is an integer number (71872742970).

Almost surely, 2^{4013794473664} is an apocalyptic number.

It is an amenable number.

4013794473664 is an abundant number, since it is smaller than the sum of its proper divisors (4035952738976).

4013794473664 is a wasteful number, since it uses less digits than its factorization.

4013794473664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 58.

The spelling of 4013794473664 in words is "four trillion, thirteen billion, seven hundred ninety-four million, four hundred seventy-three thousand, six hundred sixty-four".