3343110041040 has 640 divisors, whose sum is σ = 13703815471104. Its totient is φ = 653571072000.

The previous prime is 3343110041027. The next prime is 3343110041071. The reversal of 3343110041040 is 401400113433.

It is a super-2 number, since 2×3343110041040² (a number of 26 digits) contains 22 as substring.

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 3343110041040.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 25862970 + ... + 25991910.

Almost surely, 2^{3343110041040} is an apocalyptic number.

3343110041040 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 3343110041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851907735552).

3343110041040 is an abundant number, since it is smaller than the sum of its proper divisors (10360705430064).

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

3343110041040 is a wasteful number, since it uses less digits than its factorization.

3343110041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129059 (or 129053 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3343110041040 its reverse (401400113433), we get a palindrome (3744510154473).

The spelling of 3343110041040 in words is "three trillion, three hundred forty-three billion, one hundred ten million, forty-one thousand, forty".