4005230003040 has 192 divisors, whose sum is σ = 14883951882240. Its totient is φ = 885949470720.

The previous prime is 4005230003029. The next prime is 4005230003059. The reversal of 4005230003040 is 403000325004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4005230002998 and 4005230003016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19122175 + ... + 19330494.

It is an arithmetic number, because the mean of its divisors is an integer number (77520582720).

Almost surely, 2^{4005230003040} is an apocalyptic number.

4005230003040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005230003040 is an abundant number, since it is smaller than the sum of its proper divisors (10878721879200).

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

4005230003040 is a wasteful number, since it uses less digits than its factorization.

4005230003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38452725 (or 38452717 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 4005230003040 its reverse (403000325004), we get a palindrome (4408230328044).

The spelling of 4005230003040 in words is "four trillion, five billion, two hundred thirty million, three thousand, forty".