434359086336 has 864 divisors, whose sum is σ = 1597074984960. Its totient is φ = 114966355968.

The previous prime is 434359086331. The next prime is 434359086349. The reversal of 434359086336 is 633680953434.

It is a happy number.

434359086336 is a `hidden beast` number, since 4 + 3 + 43 + 590 + 8 + 6 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434359086331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 388861650 + ... + 388862766.

Almost surely, 2^434359086336 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 434359086336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798537492480).

434359086336 is an abundant number, since it is smaller than the sum of its proper divisors (1162715898624).

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

434359086336 is a wasteful number, since it uses less digits than its factorization.

434359086336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 434359086336 in words is "four hundred thirty-four billion, three hundred fifty-nine million, eighty-six thousand, three hundred thirty-six".