4002010324 has 48 divisors (see below), whose sum is σ = 8261341200. Its totient is φ = 1678473216.

The previous prime is 4002010321. The next prime is 4002010339. The reversal of 4002010324 is 4230102004.

It can be written as a sum of positive squares in 8 ways, for example, as 15350724 + 3986659600 = 3918^2 + 63140^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4002010298 and 4002010307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002010321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52419 + ... + 103690.

It is an arithmetic number, because the mean of its divisors is an integer number (172111275).

Almost surely, 2^4002010324 is an apocalyptic number.

It is an amenable number.

4002010324 is an abundant number, since it is smaller than the sum of its proper divisors (4259330876).

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

4002010324 is a wasteful number, since it uses less digits than its factorization.

4002010324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156172 (or 156170 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4002010324 is about 63261.4442136757. Note that the first 3 decimals coincide. The cubic root of 4002010324 is about 1587.6669399658. Note that the first 3 decimals are identical.

Adding to 4002010324 its reverse (4230102004), we get a palindrome (8232112328).

It can be divided in two parts, 400 and 2010324, that added together give a square (2010724 = 1418²).

The spelling of 4002010324 in words is "four billion, two million, ten thousand, three hundred twenty-four".