434365350560 has 48 divisors (see below), whose sum is σ = 1080198050400. Its totient is φ = 164601605376.

The previous prime is 434365350557. The next prime is 434365350589. The reversal of 434365350560 is 65053563434.

It is a super-2 number, since 2×434365350560² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71438630 + ... + 71444709.

It is an arithmetic number, because the mean of its divisors is an integer number (22504126050).

Almost surely, 2^434365350560 is an apocalyptic number.

434365350560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434365350560 is an abundant number, since it is smaller than the sum of its proper divisors (645832699840).

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

434365350560 is a wasteful number, since it uses less digits than its factorization.

434365350560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142883373 (or 142883365 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 44.

The spelling of 434365350560 in words is "four hundred thirty-four billion, three hundred sixty-five million, three hundred fifty thousand, five hundred sixty".