4005010230540 has 192 divisors, whose sum is σ = 12300545198592. Its totient is φ = 965596262400.

The previous prime is 4005010230433. The next prime is 4005010230553. The reversal of 4005010230540 is 450320105004.

4005010230540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4005010230540.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202334884 + ... + 202354676.

It is an arithmetic number, because the mean of its divisors is an integer number (64065339576).

Almost surely, 2^{4005010230540} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005010230540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150272599296).

4005010230540 is an abundant number, since it is smaller than the sum of its proper divisors (8295534968052).

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

4005010230540 is a wasteful number, since it uses less digits than its factorization.

4005010230540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21480 (or 21478 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 4005010230540 its reverse (450320105004), we get a palindrome (4455330335544).

The spelling of 4005010230540 in words is "four trillion, five billion, ten million, two hundred thirty thousand, five hundred forty".