434122014340 has 96 divisors (see below), whose sum is σ = 1053409996800. Its totient is φ = 147205517184.

The previous prime is 434122014317. The next prime is 434122014367. The reversal of 434122014340 is 43410221434.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 434122014299 and 434122014308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4605967 + ... + 4699273.

It is an arithmetic number, because the mean of its divisors is an integer number (10973020800).

Almost surely, 2^434122014340 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 434122014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526704998400).

434122014340 is an abundant number, since it is smaller than the sum of its proper divisors (619287982460).

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

434122014340 is a wasteful number, since it uses less digits than its factorization.

434122014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93689 (or 93687 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 434122014340 its reverse (43410221434), we get a palindrome (477532235774).

The spelling of 434122014340 in words is "four hundred thirty-four billion, one hundred twenty-two million, fourteen thousand, three hundred forty".