3413161760640 has 128 divisors (see below), whose sum is σ = 10881369792000. Its totient is φ = 910016120832.

The previous prime is 3413161760639. The next prime is 3413161760641. The reversal of 3413161760640 is 460671613143.

It is an interprime number because it is at equal distance from previous prime (3413161760639) and next prime (3413161760641).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3413161760592 and 3413161760601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413161760641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10949661 + ... + 11257059.

It is an arithmetic number, because the mean of its divisors is an integer number (85010701500).

Almost surely, 2^{3413161760640} is an apocalyptic number.

3413161760640 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 3413161760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440684896000).

3413161760640 is an abundant number, since it is smaller than the sum of its proper divisors (7468208031360).

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

3413161760640 is a wasteful number, since it uses less digits than its factorization.

3413161760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313204 (or 313192 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 3413161760640 in words is "three trillion, four hundred thirteen billion, one hundred sixty-one million, seven hundred sixty thousand, six hundred forty".