434539375317120 has 512 divisors, whose sum is σ = 1429465771008000. Its totient is φ = 112215437623296.

The previous prime is 434539375317071. The next prime is 434539375317133. The reversal of 434539375317120 is 21713573935434.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4518543277 + ... + 4518639443.

It is an arithmetic number, because the mean of its divisors is an integer number (2791925334000).

Almost surely, 2^{434539375317120} is an apocalyptic number.

434539375317120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434539375317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714732885504000).

434539375317120 is an abundant number, since it is smaller than the sum of its proper divisors (994926395690880).

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

434539375317120 is a wasteful number, since it uses less digits than its factorization.

434539375317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96700 (or 96688 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 57.

The spelling of 434539375317120 in words is "four hundred thirty-four trillion, five hundred thirty-nine billion, three hundred seventy-five million, three hundred seventeen thousand, one hundred twenty".