4006728408815 has 32 divisors (see below), whose sum is σ = 5412464202240. Its totient is φ = 2821790563200.

The previous prime is 4006728408797. The next prime is 4006728408821. The reversal of 4006728408815 is 5188048276004.

It is not a de Polignac number, because 4006728408815 - 2⁶ = 4006728408751 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4236275 + ... + 5095044.

It is an arithmetic number, because the mean of its divisors is an integer number (169139506320).

Almost surely, 2^{4006728408815} is an apocalyptic number.

4006728408815 is a deficient number, since it is larger than the sum of its proper divisors (1405735793425).

4006728408815 is a wasteful number, since it uses less digits than its factorization.

4006728408815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9331583.

The product of its (nonzero) digits is 3440640, while the sum is 53.

The spelling of 4006728408815 in words is "four trillion, six billion, seven hundred twenty-eight million, four hundred eight thousand, eight hundred fifteen".