4284406876727 has 16 divisors (see below), whose sum is σ = 4507327360800. Its totient is φ = 4066574547840.

The previous prime is 4284406876709. The next prime is 4284406876751. The reversal of 4284406876727 is 7276786044824.

4284406876727 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4284406876727 - 2⁸ = 4284406876471 is a prime.

It is a super-2 number, since 2×4284406876727² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284406876777) 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, 2483549 + ... + 3838857.

It is an arithmetic number, because the mean of its divisors is an integer number (281707960050).

Almost surely, 2^{4284406876727} is an apocalyptic number.

4284406876727 is a deficient number, since it is larger than the sum of its proper divisors (222920484073).

4284406876727 is a wasteful number, since it uses less digits than its factorization.

4284406876727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357186.

The product of its (nonzero) digits is 202309632, while the sum is 65.

The spelling of 4284406876727 in words is "four trillion, two hundred eighty-four billion, four hundred six million, eight hundred seventy-six thousand, seven hundred twenty-seven".