4004109993 has 16 divisors (see below), whose sum is σ = 5904885056. Its totient is φ = 2397470400.

The previous prime is 4004109983. The next prime is 4004110001. The reversal of 4004109993 is 3999014004.

It is not a de Polignac number, because 4004109993 - 2⁵ = 4004109961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4004109983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1385983 + ... + 1388868.

It is an arithmetic number, because the mean of its divisors is an integer number (369055316).

Almost surely, 2^4004109993 is an apocalyptic number.

It is an amenable number.

4004109993 is a deficient number, since it is larger than the sum of its proper divisors (1900775063).

4004109993 is a wasteful number, since it uses less digits than its factorization.

4004109993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774904.

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 4004109993 is about 63278.0372088136. The cubic root of 4004109993 is about 1587.9445497973.

The spelling of 4004109993 in words is "four billion, four million, one hundred nine thousand, nine hundred ninety-three".