434001041320 has 64 divisors (see below), whose sum is σ = 1217457475200. Its totient is φ = 135273050880.

The previous prime is 434001041267. The next prime is 434001041401. The reversal of 434001041320 is 23140100434.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 434001041291 and 434001041300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70451635 + ... + 70457794.

It is an arithmetic number, because the mean of its divisors is an integer number (19022773050).

Almost surely, 2^434001041320 is an apocalyptic number.

434001041320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434001041320 is an abundant number, since it is smaller than the sum of its proper divisors (783456433880).

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

434001041320 is a wasteful number, since it uses less digits than its factorization.

434001041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140909458 (or 140909454 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 434001041320 its reverse (23140100434), we get a palindrome (457141141754).

The spelling of 434001041320 in words is "four hundred thirty-four billion, one million, forty-one thousand, three hundred twenty".