434430344294496 has 768 divisors, whose sum is σ = 1467950091632640. Its totient is φ = 123742722816000.

The previous prime is 434430344294347. The next prime is 434430344294537. The reversal of 434430344294496 is 694492443034434.

434430344294496 is a `hidden beast` number, since 4 + 3 + 4 + 430 + 34 + 42 + 9 + 44 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6398904711 + ... + 6398972601.

It is an arithmetic number, because the mean of its divisors is an integer number (1911393348480).

Almost surely, 2^{434430344294496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434430344294496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733975045816320).

434430344294496 is an abundant number, since it is smaller than the sum of its proper divisors (1033519747338144).

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

434430344294496 is a wasteful number, since it uses less digits than its factorization.

434430344294496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68576 (or 68562 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 63.

The spelling of 434430344294496 in words is "four hundred thirty-four trillion, four hundred thirty billion, three hundred forty-four million, two hundred ninety-four thousand, four hundred ninety-six".