4008677348073 has 48 divisors (see below), whose sum is σ = 5516711928000. Its totient is φ = 2589148931328.

The previous prime is 4008677348057. The next prime is 4008677348077. The reversal of 4008677348073 is 3708437768004.

It is not a de Polignac number, because 4008677348073 - 2⁴ = 4008677348057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4008677348077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1132712938 + ... + 1132716476.

It is an arithmetic number, because the mean of its divisors is an integer number (114931498500).

Almost surely, 2^{4008677348073} is an apocalyptic number.

It is an amenable number.

4008677348073 is a deficient number, since it is larger than the sum of its proper divisors (1508034579927).

4008677348073 is a wasteful number, since it uses less digits than its factorization.

4008677348073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 57.

The spelling of 4008677348073 in words is "four trillion, eight billion, six hundred seventy-seven million, three hundred forty-eight thousand, seventy-three".