434312322440 has 128 divisors (see below), whose sum is σ = 998025494400. Its totient is φ = 170073845760.

The previous prime is 434312322421. The next prime is 434312322481. The reversal of 434312322440 is 44223213434.

It is a junction number, because it is equal to n+sod(n) for n = 434312322397 and 434312322406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135593879 + ... + 135597081.

It is an arithmetic number, because the mean of its divisors is an integer number (7797074175).

Almost surely, 2^434312322440 is an apocalyptic number.

434312322440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434312322440 is an abundant number, since it is smaller than the sum of its proper divisors (563713171960).

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

434312322440 is a wasteful number, since it uses less digits than its factorization.

434312322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 434312322440 its reverse (44223213434), we get a palindrome (478535535874).

The spelling of 434312322440 in words is "four hundred thirty-four billion, three hundred twelve million, three hundred twenty-two thousand, four hundred forty".