434396991744 has 405 divisors, whose sum is σ = 1360897403943. Its totient is φ = 137807391744.

The previous prime is 434396991737. The next prime is 434396991751. The reversal of 434396991744 is 447199693434.

The square root of 434396991744 is 659088.

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

434396991744 is a `hidden beast` number, since 43 + 439 + 6 + 9 + 91 + 74 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (434396991737) and next prime (434396991751).

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, 2182899357 + ... + 2182899555.

Almost surely, 2^434396991744 is an apocalyptic number.

434396991744 is the 659088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434396991744

434396991744 is an abundant number, since it is smaller than the sum of its proper divisors (926500412199).

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

434396991744 is an frugal number, since it uses more digits than its factorization.

434396991744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 227 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 434396991744 in words is "four hundred thirty-four billion, three hundred ninety-six million, nine hundred ninety-one thousand, seven hundred forty-four".