414444122020 has 96 divisors (see below), whose sum is σ = 912561511680. Its totient is φ = 157967677440.

The previous prime is 414444122011. The next prime is 414444122023. The reversal of 414444122020 is 20221444414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414444122020.

It is not an unprimeable number, because it can be changed into a prime (414444122023) 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, 6131971 + ... + 6199189.

It is an arithmetic number, because the mean of its divisors is an integer number (9505849080).

Almost surely, 2^414444122020 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 414444122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456280755840).

414444122020 is an abundant number, since it is smaller than the sum of its proper divisors (498117389660).

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

414444122020 is a wasteful number, since it uses less digits than its factorization.

414444122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67445 (or 67443 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 414444122020 its reverse (20221444414), we get a palindrome (434665566434).

The spelling of 414444122020 in words is "four hundred fourteen billion, four hundred forty-four million, one hundred twenty-two thousand, twenty".