4284407148735 has 32 divisors (see below), whose sum is σ = 8025426081792. Its totient is φ = 1910815729920.

The previous prime is 4284407148731. The next prime is 4284407148737. The reversal of 4284407148735 is 5378417044824.

It is a happy number.

4284407148735 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4284407148735 - 2² = 4284407148731 is a prime.

It is a super-4 number, since 4×4284407148735⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284407148731) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 497603959 + ... + 497612568.

It is an arithmetic number, because the mean of its divisors is an integer number (250794565056).

Almost surely, 2^{4284407148735} is an apocalyptic number.

4284407148735 is a deficient number, since it is larger than the sum of its proper divisors (3741018933057).

4284407148735 is a wasteful number, since it uses less digits than its factorization.

4284407148735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995216583.

The product of its (nonzero) digits is 24084480, while the sum is 57.

The spelling of 4284407148735 in words is "four trillion, two hundred eighty-four billion, four hundred seven million, one hundred forty-eight thousand, seven hundred thirty-five".