434046639120 has 80 divisors (see below), whose sum is σ = 1358608198272. Its totient is φ = 114622018560.

The previous prime is 434046639119. The next prime is 434046639157. The reversal of 434046639120 is 21936640434.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8754541 + ... + 8803980.

Almost surely, 2^434046639120 is an apocalyptic number.

434046639120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434046639120 is an abundant number, since it is smaller than the sum of its proper divisors (924561559152).

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

434046639120 is a wasteful number, since it uses less digits than its factorization.

434046639120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17558640 (or 17558634 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 434046639120 in words is "four hundred thirty-four billion, forty-six million, six hundred thirty-nine thousand, one hundred twenty".