3331321000040 has 128 divisors (see below), whose sum is σ = 8539205068800. Its totient is φ = 1157795569920.

The previous prime is 3331321000019. The next prime is 3331321000087. The reversal of 3331321000040 is 400001231333.

It is a super-2 number, since 2×3331321000040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3331320999976 and 3331321000021.

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 31 ways as a sum of consecutive naturals, for example, 12610349 + ... + 12871811.

It is an arithmetic number, because the mean of its divisors is an integer number (66712539600).

Almost surely, 2^{3331321000040} 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 3331321000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269602534400).

3331321000040 is an abundant number, since it is smaller than the sum of its proper divisors (5207884068760).

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

3331321000040 is a wasteful number, since it uses less digits than its factorization.

3331321000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262767 (or 262763 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 3331321000040 its reverse (400001231333), we get a palindrome (3731322231373).

The spelling of 3331321000040 in words is "three trillion, three hundred thirty-one billion, three hundred twenty-one million, forty", and thus it is an aban number.