3405331123040 has 192 divisors, whose sum is σ = 10040405372928. Its totient is φ = 1060327065600.

The previous prime is 3405331123037. The next prime is 3405331123067. The reversal of 3405331123040 is 403211335043.

It is a junction number, because it is equal to n+sod(n) for n = 3405331122994 and 3405331123012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12069662 + ... + 12348578.

It is an arithmetic number, because the mean of its divisors is an integer number (52293777984).

Almost surely, 2^{3405331123040} 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 3405331123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020202686464).

3405331123040 is an abundant number, since it is smaller than the sum of its proper divisors (6635074249888).

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

3405331123040 is a wasteful number, since it uses less digits than its factorization.

3405331123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279941 (or 279933 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 3405331123040 its reverse (403211335043), we get a palindrome (3808542458083).

The spelling of 3405331123040 in words is "three trillion, four hundred five billion, three hundred thirty-one million, one hundred twenty-three thousand, forty".