4006728408816 has 120 divisors (see below), whose sum is σ = 13372352448000. Its totient is φ = 1095006515328.

The previous prime is 4006728408797. The next prime is 4006728408821. The reversal of 4006728408816 is 6188048276004.

4006728408816 is a `hidden beast` number, since 400 + 6 + 72 + 84 + 0 + 88 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86388316 + ... + 86434683.

It is an arithmetic number, because the mean of its divisors is an integer number (111436270400).

Almost surely, 2^{4006728408816} is an apocalyptic number.

4006728408816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4006728408816 is an abundant number, since it is smaller than the sum of its proper divisors (9365624039184).

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

4006728408816 is a wasteful number, since it uses less digits than its factorization.

4006728408816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172823043 (or 172823034 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 4006728408816 in words is "four trillion, six billion, seven hundred twenty-eight million, four hundred eight thousand, eight hundred sixteen".