434450241640900 has 243 divisors, whose sum is σ = 989107682686221. Its totient is φ = 165630550008000.

The previous prime is 434450241640897. The next prime is 434450241640901. The reversal of 434450241640900 is 9046142054434.

It is a happy number.

The square root of 434450241640900 is 20843470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 156402086990724 + 278048154650176 = 12506082^2 + 16674776^2 .

It is not an unprimeable number, because it can be changed into a prime (434450241640901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 458764774227 + ... + 458764775173.

Almost surely, 2^{434450241640900} is an apocalyptic number.

434450241640900 is the 20843470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434450241640900

434450241640900 is an abundant number, since it is smaller than the sum of its proper divisors (554657441045321).

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

434450241640900 is an frugal number, since it uses more digits than its factorization.

434450241640900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 434450241640900 in words is "four hundred thirty-four trillion, four hundred fifty billion, two hundred forty-one million, six hundred forty thousand, nine hundred".