413440231322430 has 256 divisors, whose sum is σ = 1238975695319040. Its totient is φ = 97342159090176.

The previous prime is 413440231322423. The next prime is 413440231322507. The reversal of 413440231322430 is 34223132044314.

413440231322430 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 402 + 3 + 1 + 3 + 2 + 243 + 0 = 666.

It is a super-2 number, since 2×413440231322430² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3790784079 + ... + 3790893141.

It is an arithmetic number, because the mean of its divisors is an integer number (4839748809840).

Almost surely, 2^{413440231322430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413440231322430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619487847659520).

413440231322430 is an abundant number, since it is smaller than the sum of its proper divisors (825535463996610).

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

413440231322430 is a wasteful number, since it uses less digits than its factorization.

413440231322430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156072 (or 156066 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 413440231322430 its reverse (34223132044314), we get a palindrome (447663363366744).

The spelling of 413440231322430 in words is "four hundred thirteen trillion, four hundred forty billion, two hundred thirty-one million, three hundred twenty-two thousand, four hundred thirty".