434043132040600 has 48 divisors (see below), whose sum is σ = 1009421051176800. Its totient is φ = 173570668871040.

The previous prime is 434043132040561. The next prime is 434043132040607. The reversal of 434043132040600 is 6040231340434.

It is a super-2 number, since 2×434043132040600² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434043132040607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 290402395 + ... + 291893194.

It is an arithmetic number, because the mean of its divisors is an integer number (21029605232850).

Almost surely, 2^{434043132040600} is an apocalyptic number.

434043132040600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434043132040600 is an abundant number, since it is smaller than the sum of its proper divisors (575377919136200).

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

434043132040600 is a wasteful number, since it uses less digits than its factorization.

434043132040600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582299332 (or 582299323 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 434043132040600 in words is "four hundred thirty-four trillion, forty-three billion, one hundred thirty-two million, forty thousand, six hundred".