434707242640 has 240 divisors, whose sum is σ = 1188599549760. Its totient is φ = 147296793600.

The previous prime is 434707242581. The next prime is 434707242719. The reversal of 434707242640 is 46242707434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11199747 + ... + 11238493.

It is an arithmetic number, because the mean of its divisors is an integer number (4952498124).

Almost surely, 2^434707242640 is an apocalyptic number.

434707242640 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 434707242640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594299774880).

434707242640 is an abundant number, since it is smaller than the sum of its proper divisors (753892307120).

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

434707242640 is a wasteful number, since it uses less digits than its factorization.

434707242640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38862 (or 38845 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 43.

The spelling of 434707242640 in words is "four hundred thirty-four billion, seven hundred seven million, two hundred forty-two thousand, six hundred forty".