434059407936 has 336 divisors, whose sum is σ = 1619337660480. Its totient is φ = 112742461440.

The previous prime is 434059407889. The next prime is 434059407937. The reversal of 434059407936 is 639704950434.

It is a happy number.

434059407936 is a `hidden beast` number, since 4 + 3 + 40 + 594 + 0 + 7 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (434059407937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698376 + ... + 1164408.

Almost surely, 2^434059407936 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 434059407936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809668830240).

434059407936 is an abundant number, since it is smaller than the sum of its proper divisors (1185278252544).

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

434059407936 is a wasteful number, since it uses less digits than its factorization.

434059407936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466079 (or 466056 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 434059407936 in words is "four hundred thirty-four billion, fifty-nine million, four hundred seven thousand, nine hundred thirty-six".