4414431434000 has 160 divisors (see below), whose sum is σ = 12592482220032. Its totient is φ = 1464696000000.

The previous prime is 4414431433963. The next prime is 4414431434009. The reversal of 4414431434000 is 4341344144.

It is not an unprimeable number, because it can be changed into a prime (4414431434009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4651751 + ... + 5519750.

Almost surely, 2^{4414431434000} is an apocalyptic number.

4414431434000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4414431434000 is an abundant number, since it is smaller than the sum of its proper divisors (8178050786032).

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

4414431434000 is a wasteful number, since it uses less digits than its factorization.

4414431434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10171562 (or 10171546 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4414431434000 its reverse (4341344144), we get a palindrome (4418772778144).

The spelling of 4414431434000 in words is "four trillion, four hundred fourteen billion, four hundred thirty-one million, four hundred thirty-four thousand".