3413235301040 has 160 divisors (see below), whose sum is σ = 8510155690176. Its totient is φ = 1268554956800.

The previous prime is 3413235301013. The next prime is 3413235301043. The reversal of 3413235301040 is 401035323143.

It is a junction number, because it is equal to n+sod(n) for n = 3413235300994 and 3413235301012.

It is not an unprimeable number, because it can be changed into a prime (3413235301043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161746490 + ... + 161767590.

Almost surely, 2^{3413235301040} 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 3413235301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255077845088).

3413235301040 is an abundant number, since it is smaller than the sum of its proper divisors (5096920389136).

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

3413235301040 is a wasteful number, since it uses less digits than its factorization.

3413235301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22647 (or 22641 counting only the distinct ones).

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

The spelling of 3413235301040 in words is "three trillion, four hundred thirteen billion, two hundred thirty-five million, three hundred one thousand, forty".