3213002443040 has 96 divisors (see below), whose sum is σ = 8186990229936. Its totient is φ = 1184544092160.

The previous prime is 3213002443031. The next prime is 3213002443067. The reversal of 3213002443040 is 403442003123.

It can be written as a sum of positive squares in 8 ways, for example, as 2202149153296 + 1010853289744 = 1483964^2 + 1005412^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 206414 + ... + 2543346.

Almost surely, 2^{3213002443040} 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 3213002443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093495114968).

3213002443040 is an abundant number, since it is smaller than the sum of its proper divisors (4973987786896).

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

3213002443040 is a wasteful number, since it uses less digits than its factorization.

3213002443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337622 (or 2337614 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 3213002443040 its reverse (403442003123), we get a palindrome (3616444446163).

The spelling of 3213002443040 in words is "three trillion, two hundred thirteen billion, two million, four hundred forty-three thousand, forty".