434310402114144 has 432 divisors, whose sum is σ = 1333568681565120. Its totient is φ = 139030349702400.

The previous prime is 434310402114073. The next prime is 434310402114167. The reversal of 434310402114144 is 441411204013434.

434310402114144 is a `hidden beast` number, since 4 + 3 + 431 + 0 + 4 + 0 + 211 + 4 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×434310402114144³ (a number of 45 digits) contains 333 as substring.

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 = 434310402114099 and 434310402114108.

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, 978706587 + ... + 979150245.

It is an arithmetic number, because the mean of its divisors is an integer number (3086964540660).

Almost surely, 2^{434310402114144} 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 434310402114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666784340782560).

434310402114144 is an abundant number, since it is smaller than the sum of its proper divisors (899258279450976).

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

434310402114144 is a wasteful number, since it uses less digits than its factorization.

434310402114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443877 (or 443826 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 434310402114144 its reverse (441411204013434), we get a palindrome (875721606127578).

The spelling of 434310402114144 in words is "four hundred thirty-four trillion, three hundred ten billion, four hundred two million, one hundred fourteen thousand, one hundred forty-four".