413030542130000 has 100 divisors (see below), whose sum is σ = 1000051518941508. Its totient is φ = 165201763200000.

The previous prime is 413030542129967. The next prime is 413030542130009. The reversal of 413030542130000 is 31245030314.

It can be written as a sum of positive squares in 10 ways, for example, as 134664141742144 + 278366400387856 = 11604488^2 + 16684316^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413030542130009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 157711244 + ... + 160308756.

Almost surely, 2^{413030542130000} is an apocalyptic number.

413030542130000 is a gapful number since it is divisible by the number (40) 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 413030542130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500025759470754).

413030542130000 is an abundant number, since it is smaller than the sum of its proper divisors (587020976811508).

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

413030542130000 is a wasteful number, since it uses less digits than its factorization.

413030542130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613442 (or 2613421 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 413030542130000 its reverse (31245030314), we get a palindrome (413061787160314).

The spelling of 413030542130000 in words is "four hundred thirteen trillion, thirty billion, five hundred forty-two million, one hundred thirty thousand".