414323000322 has 128 divisors (see below), whose sum is σ = 1037097105408. Its totient is φ = 107202700800.

The previous prime is 414323000317. The next prime is 414323000323. The reversal of 414323000322 is 223000323414.

It is a junction number, because it is equal to n+sod(n) for n = 414323000292 and 414323000301.

It is not an unprimeable number, because it can be changed into a prime (414323000323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154770048 + ... + 154772724.

It is an arithmetic number, because the mean of its divisors is an integer number (8102321136).

Almost surely, 2^414323000322 is an apocalyptic number.

414323000322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 414323000322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518548552704).

414323000322 is an abundant number, since it is smaller than the sum of its proper divisors (622774105086).

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

414323000322 is a wasteful number, since it uses less digits than its factorization.

414323000322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864.

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

Adding to 414323000322 its reverse (223000323414), we get a palindrome (637323323736).

The spelling of 414323000322 in words is "four hundred fourteen billion, three hundred twenty-three million, three hundred twenty-two", and thus it is an aban number.