4007333484125 has 16 divisors (see below), whose sum is σ = 5001456755568. Its totient is φ = 3205671552000.

The previous prime is 4007333484109. The next prime is 4007333484127. The reversal of 4007333484125 is 5214843337004.

4007333484125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1316703465529 + 2690630018596 = 1147477^2 + 1640314^2 .

It is not a de Polignac number, because 4007333484125 - 2⁴ = 4007333484109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007333484127) 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, 1102229 + ... + 3038021.

It is an arithmetic number, because the mean of its divisors is an integer number (312591047223).

Almost surely, 2^{4007333484125} is an apocalyptic number.

It is an amenable number.

4007333484125 is a deficient number, since it is larger than the sum of its proper divisors (994123271443).

4007333484125 is a wasteful number, since it uses less digits than its factorization.

4007333484125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952369 (or 1952359 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 4007333484125 in words is "four trillion, seven billion, three hundred thirty-three million, four hundred eighty-four thousand, one hundred twenty-five".