413330114334030 has 256 divisors, whose sum is σ = 1059411036708864. Its totient is φ = 103047398277120.

The previous prime is 413330114334013. The next prime is 413330114334079. The reversal of 413330114334030 is 30433411033314.

It is a junction number, because it is equal to n+sod(n) for n = 413330114333982 and 413330114334000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33074340742 + ... + 33074353238.

It is an arithmetic number, because the mean of its divisors is an integer number (4138324362144).

Almost surely, 2^{413330114334030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413330114334030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529705518354432).

413330114334030 is an abundant number, since it is smaller than the sum of its proper divisors (646080922374834).

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

413330114334030 is a wasteful number, since it uses less digits than its factorization.

413330114334030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23499.

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 413330114334030 its reverse (30433411033314), we get a palindrome (443763525367344).

The spelling of 413330114334030 in words is "four hundred thirteen trillion, three hundred thirty billion, one hundred fourteen million, three hundred thirty-four thousand, thirty".