434453454336 has 240 divisors, whose sum is σ = 1293085143504. Its totient is φ = 129490944000.

The previous prime is 434453454293. The next prime is 434453454419. The reversal of 434453454336 is 633454354434.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11318056 + ... + 11356376.

Almost surely, 2^434453454336 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 434453454336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646542571752).

434453454336 is an abundant number, since it is smaller than the sum of its proper divisors (858631689168).

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

434453454336 is a wasteful number, since it uses less digits than its factorization.

434453454336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38425 (or 38398 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 48.

The spelling of 434453454336 in words is "four hundred thirty-four billion, four hundred fifty-three million, four hundred fifty-four thousand, three hundred thirty-six".