3341031133440 has 1152 divisors, whose sum is σ = 14541667725312. Its totient is φ = 631223746560.

The previous prime is 3341031133399. The next prime is 3341031133519. The reversal of 3341031133440 is 443311301433.

It is a super-2 number, since 2×3341031133440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3341031133398 and 3341031133407.

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, 257530794 + ... + 257543766.

It is an arithmetic number, because the mean of its divisors is an integer number (12622975456).

Almost surely, 2^{3341031133440} is an apocalyptic number.

3341031133440 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 3341031133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270833862656).

3341031133440 is an abundant number, since it is smaller than the sum of its proper divisors (11200636591872).

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

3341031133440 is a wasteful number, since it uses less digits than its factorization.

3341031133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13095 (or 13081 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 3341031133440 its reverse (443311301433), we get a palindrome (3784342434873).

The spelling of 3341031133440 in words is "three trillion, three hundred forty-one billion, thirty-one million, one hundred thirty-three thousand, four hundred forty".