434278364004 has 135 divisors (see below), whose sum is σ = 1174087174953. Its totient is φ = 139971175200.

The previous prime is 434278363963. The next prime is 434278364011. The reversal of 434278364004 is 400463872434.

The square root of 434278364004 is 658998.

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., 398284685604 + 35993678400 = 631098^2 + 189720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 367720294 + ... + 367721474.

Almost surely, 2^434278364004 is an apocalyptic number.

434278364004 is the 658998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434278364004

434278364004 is an abundant number, since it is smaller than the sum of its proper divisors (739808810949).

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

434278364004 is an equidigital number, since it uses as much as digits as its factorization.

434278364004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 434278364004 in words is "four hundred thirty-four billion, two hundred seventy-eight million, three hundred sixty-four thousand, four".