434433341440 has 144 divisors (see below), whose sum is σ = 1212572251800. Its totient is φ = 148948402176.

The previous prime is 434433341417. The next prime is 434433341521. The reversal of 434433341440 is 44143334434.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 434433341440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68851 + ... + 934669.

Almost surely, 2^434433341440 is an apocalyptic number.

434433341440 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 434433341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606286125900).

434433341440 is an abundant number, since it is smaller than the sum of its proper divisors (778138910360).

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

434433341440 is an equidigital number, since it uses as much as digits as its factorization.

434433341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865860 (or 865833 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 434433341440 its reverse (44143334434), we get a palindrome (478576675874).

The spelling of 434433341440 in words is "four hundred thirty-four billion, four hundred thirty-three million, three hundred forty-one thousand, four hundred forty".