3013203233040 has 640 divisors, whose sum is σ = 12974169600000. Its totient is φ = 558026219520.

The previous prime is 3013203233009. The next prime is 3013203233087. The reversal of 3013203233040 is 403323023103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3013203233040.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 6750711 + ... + 7183209.

It is an arithmetic number, because the mean of its divisors is an integer number (20272140000).

Almost surely, 2^{3013203233040} is an apocalyptic number.

3013203233040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013203233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487084800000).

3013203233040 is an abundant number, since it is smaller than the sum of its proper divisors (9960966366960).

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

3013203233040 is a wasteful number, since it uses less digits than its factorization.

3013203233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432575 (or 432569 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 3013203233040 its reverse (403323023103), we get a palindrome (3416526256143).

The spelling of 3013203233040 in words is "three trillion, thirteen billion, two hundred three million, two hundred thirty-three thousand, forty".