414220110304 has 192 divisors, whose sum is σ = 1099117071360. Its totient is φ = 148400824320.

The previous prime is 414220110301. The next prime is 414220110319. The reversal of 414220110304 is 403011022414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414220110301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8399832 + ... + 8449000.

It is an arithmetic number, because the mean of its divisors is an integer number (5724568080).

Almost surely, 2^414220110304 is an apocalyptic number.

414220110304 is a gapful number since it is divisible by the number (44) 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 414220110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549558535680).

414220110304 is an abundant number, since it is smaller than the sum of its proper divisors (684896961056).

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

414220110304 is a wasteful number, since it uses less digits than its factorization.

414220110304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49473 (or 49465 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 414220110304 its reverse (403011022414), we get a palindrome (817231132718).

The spelling of 414220110304 in words is "four hundred fourteen billion, two hundred twenty million, one hundred ten thousand, three hundred four".