434322496560 has 80 divisors (see below), whose sum is σ = 1346485649760. Its totient is φ = 115811942400.

The previous prime is 434322496549. The next prime is 434322496579. The reversal of 434322496560 is 65694223434.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×434322496560² (a number of 24 digits) contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 4439856 + ... + 4536624.

It is an arithmetic number, because the mean of its divisors is an integer number (16831070622).

Almost surely, 2^434322496560 is an apocalyptic number.

434322496560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434322496560 is an abundant number, since it is smaller than the sum of its proper divisors (912163153200).

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

434322496560 is a wasteful number, since it uses less digits than its factorization.

434322496560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115486 (or 115480 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 434322496560 in words is "four hundred thirty-four billion, three hundred twenty-two million, four hundred ninety-six thousand, five hundred sixty".