434224442443000 has 64 divisors (see below), whose sum is σ = 1108456576737120. Its totient is φ = 157899797248000.

The previous prime is 434224442442961. The next prime is 434224442443009. The reversal of 434224442443000 is 344244422434.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434224442443009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19737463657 + ... + 19737485656.

Almost surely, 2^{434224442443000} is an apocalyptic number.

434224442443000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434224442443000 is an abundant number, since it is smaller than the sum of its proper divisors (674232134294120).

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

434224442443000 is a wasteful number, since it uses less digits than its factorization.

434224442443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39474949345 (or 39474949331 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 40.

Adding to 434224442443000 its reverse (344244422434), we get a palindrome (434568686865434).

The spelling of 434224442443000 in words is "four hundred thirty-four trillion, two hundred twenty-four billion, four hundred forty-two million, four hundred forty-three thousand".