434662641450 has 132 divisors (see below), whose sum is σ = 1212710161158. Its totient is φ = 115909250400.

The previous prime is 434662641443. The next prime is 434662641503. The reversal of 434662641450 is 54146266434.

434662641450 is a `hidden beast` number, since 4 + 3 + 4 + 6 + 626 + 4 + 14 + 5 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 339272465841 + 95390175609 = 582471^2 + 308853^2 .

It is a super-2 number, since 2×434662641450² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 434662641396 and 434662641405.

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 2878840 + ... + 3026060.

Almost surely, 2^434662641450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434662641450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606355080579).

434662641450 is an abundant number, since it is smaller than the sum of its proper divisors (778047519708).

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

434662641450 is an equidigital number, since it uses as much as digits as its factorization.

434662641450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147263 (or 147231 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 434662641450 in words is "four hundred thirty-four billion, six hundred sixty-two million, six hundred forty-one thousand, four hundred fifty".