3410959204944 has 240 divisors, whose sum is σ = 10162980741888. Its totient is φ = 1065555499008.

The previous prime is 3410959204931. The next prime is 3410959204969. The reversal of 3410959204944 is 4494029590143.

3410959204944 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 9 + 592 + 0 + 4 + 9 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130410172 + ... + 130436324.

Almost surely, 2^{3410959204944} 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 3410959204944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081490370944).

3410959204944 is an abundant number, since it is smaller than the sum of its proper divisors (6752021536944).

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

3410959204944 is a wasteful number, since it uses less digits than its factorization.

3410959204944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26986 (or 26977 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3410959204944 in words is "three trillion, four hundred ten billion, nine hundred fifty-nine million, two hundred four thousand, nine hundred forty-four".