434544040240 has 320 divisors, whose sum is σ = 1114451706240. Its totient is φ = 156996403200.

The previous prime is 434544040223. The next prime is 434544040247. The reversal of 434544040240 is 42040445434.

It is a junction number, because it is equal to n+sod(n) for n = 434544040196 and 434544040205.

It is not an unprimeable number, because it can be changed into a prime (434544040247) 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, 641866782 + ... + 641867458.

It is an arithmetic number, because the mean of its divisors is an integer number (3482661582).

Almost surely, 2^434544040240 is an apocalyptic number.

434544040240 is a gapful number since it is divisible by the number (40) 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 434544040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557225853120).

434544040240 is an abundant number, since it is smaller than the sum of its proper divisors (679907666000).

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

434544040240 is a wasteful number, since it uses less digits than its factorization.

434544040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 34.

Adding to 434544040240 its reverse (42040445434), we get a palindrome (476584485674).

The spelling of 434544040240 in words is "four hundred thirty-four billion, five hundred forty-four million, forty thousand, two hundred forty".