434122440444 has 216 divisors, whose sum is σ = 1410570761600. Its totient is φ = 110136438720.

The previous prime is 434122440439. The next prime is 434122440473. The reversal of 434122440444 is 444044221434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 434122440399 and 434122440408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1145607 + ... + 1476705.

Almost surely, 2^434122440444 is an apocalyptic number.

434122440444 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 434122440444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705285380800).

434122440444 is an abundant number, since it is smaller than the sum of its proper divisors (976448321156).

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

434122440444 is a wasteful number, since it uses less digits than its factorization.

434122440444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331181 (or 331165 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 434122440444 its reverse (444044221434), we get a palindrome (878166661878).

The spelling of 434122440444 in words is "four hundred thirty-four billion, one hundred twenty-two million, four hundred forty thousand, four hundred forty-four".