434034424400 has 30 divisors (see below), whose sum is σ = 1042767705582. Its totient is φ = 173613769600.

The previous prime is 434034424363. The next prime is 434034424409. The reversal of 434034424400 is 4424430434.

It can be written as a sum of positive squares in 3 ways, for example, as 42629035024 + 391405389376 = 206468^2 + 625624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434034424409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 542542631 + ... + 542543430.

Almost surely, 2^434034424400 is an apocalyptic number.

434034424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434034424400 is an abundant number, since it is smaller than the sum of its proper divisors (608733281182).

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

434034424400 is a wasteful number, since it uses less digits than its factorization.

434034424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085086079 (or 1085086068 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 434034424400 its reverse (4424430434), we get a palindrome (438458854834).

The spelling of 434034424400 in words is "four hundred thirty-four billion, thirty-four million, four hundred twenty-four thousand, four hundred".