434025104000 has 64 divisors (see below), whose sum is σ = 1079094954600. Its totient is φ = 173610035200.

The previous prime is 434025103991. The next prime is 434025104003. The reversal of 434025104000 is 401520434.

It can be written as a sum of positive squares in 4 ways, for example, as 31795169344 + 402229934656 = 178312^2 + 634216^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (434025104003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13547285 + ... + 13579284.

Almost surely, 2^434025104000 is an apocalyptic number.

434025104000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434025104000 is an abundant number, since it is smaller than the sum of its proper divisors (645069850600).

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

434025104000 is an equidigital number, since it uses as much as digits as its factorization.

434025104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27126598 (or 27126576 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 434025104000 its reverse (401520434), we get a palindrome (434426624434).

The spelling of 434025104000 in words is "four hundred thirty-four billion, twenty-five million, one hundred four thousand".