3313144022040 has 192 divisors, whose sum is σ = 11339853688800. Its totient is φ = 836605034496.

The previous prime is 3313144022039. The next prime is 3313144022051. The reversal of 3313144022040 is 402204413133.

3313144022040 is a `hidden beast` number, since 3 + 3 + 13 + 1 + 440 + 2 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3313144021995 and 3313144022013.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 14338302 + ... + 14567538.

Almost surely, 2^{3313144022040} is an apocalyptic number.

3313144022040 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 3313144022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669926844400).

3313144022040 is an abundant number, since it is smaller than the sum of its proper divisors (8026709666760).

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

3313144022040 is a wasteful number, since it uses less digits than its factorization.

3313144022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231386 (or 231379 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3313144022040 its reverse (402204413133), we get a palindrome (3715348435173).

The spelling of 3313144022040 in words is "three trillion, three hundred thirteen billion, one hundred forty-four million, twenty-two thousand, forty".