434656016236640 has 96 divisors (see below), whose sum is σ = 1121921845380000. Its totient is φ = 157817615155200.

The previous prime is 434656016236601. The next prime is 434656016236643. The reversal of 434656016236640 is 46632610656434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434656016236643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185647265 + ... + 187973984.

It is an arithmetic number, because the mean of its divisors is an integer number (11686685889375).

Almost surely, 2^{434656016236640} is an apocalyptic number.

434656016236640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434656016236640 is an abundant number, since it is smaller than the sum of its proper divisors (687265829143360).

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

434656016236640 is a wasteful number, since it uses less digits than its factorization.

434656016236640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373621936 (or 373621928 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 56.

The spelling of 434656016236640 in words is "four hundred thirty-four trillion, six hundred fifty-six billion, sixteen million, two hundred thirty-six thousand, six hundred forty".