3413530042000 has 160 divisors (see below), whose sum is σ = 8937954121824. Its totient is φ = 1253415168000.

The previous prime is 3413530041997. The next prime is 3413530042037. The reversal of 3413530042000 is 2400353143.

It can be written as a sum of positive squares in 16 ways, for example, as 2920366552464 + 493163489536 = 1708908^2 + 702256^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 4343322 + ... + 5068678.

Almost surely, 2^{3413530042000} 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 3413530042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468977060912).

3413530042000 is an abundant number, since it is smaller than the sum of its proper divisors (5524424079824).

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

3413530042000 is a wasteful number, since it uses less digits than its factorization.

3413530042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725574 (or 725558 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 3413530042000 its reverse (2400353143), we get a palindrome (3415930395143).

The spelling of 3413530042000 in words is "three trillion, four hundred thirteen billion, five hundred thirty million, forty-two thousand".