4005416653404 has 24 divisors (see below), whose sum is σ = 9752318808960. Its totient is φ = 1277089367664.

The previous prime is 4005416653397. The next prime is 4005416653417. The reversal of 4005416653404 is 4043566145004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7256189314 + ... + 7256189865.

It is an arithmetic number, because the mean of its divisors is an integer number (406346617040).

Almost surely, 2^{4005416653404} is an apocalyptic number.

It is an amenable number.

4005416653404 is an abundant number, since it is smaller than the sum of its proper divisors (5746902155556).

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

4005416653404 is a wasteful number, since it uses less digits than its factorization.

4005416653404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14512379209 (or 14512379207 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 4005416653404 in words is "four trillion, five billion, four hundred sixteen million, six hundred fifty-three thousand, four hundred four".