414030230340 has 192 divisors, whose sum is σ = 1181609856000. Its totient is φ = 108305612800.

The previous prime is 414030230333. The next prime is 414030230347. The reversal of 414030230340 is 43032030414.

It is an interprime number because it is at equal distance from previous prime (414030230333) and next prime (414030230347).

It is a self number, because there is not a number n which added to its sum of digits gives 414030230340.

It is not an unprimeable number, because it can be changed into a prime (414030230347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 511779856 + ... + 511780664.

It is an arithmetic number, because the mean of its divisors is an integer number (6154218000).

Almost surely, 2^414030230340 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 414030230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590804928000).

414030230340 is an abundant number, since it is smaller than the sum of its proper divisors (767579625660).

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

414030230340 is a wasteful number, since it uses less digits than its factorization.

414030230340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 414030230340 its reverse (43032030414), we get a palindrome (457062260754).

The spelling of 414030230340 in words is "four hundred fourteen billion, thirty million, two hundred thirty thousand, three hundred forty".