434051640006000 has 320 divisors, whose sum is σ = 1433728873729152. Its totient is φ = 112907059200000.

The previous prime is 434051640005987. The next prime is 434051640006037. The reversal of 434051640006000 is 600046150434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1682757040 + ... + 1683014960.

Almost surely, 2^{434051640006000} is an apocalyptic number.

434051640006000 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 434051640006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716864436864576).

434051640006000 is an abundant number, since it is smaller than the sum of its proper divisors (999677233723152).

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

434051640006000 is a wasteful number, since it uses less digits than its factorization.

434051640006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264829 (or 264813 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 434051640006000 its reverse (600046150434), we get a palindrome (434651686156434).

The spelling of 434051640006000 in words is "four hundred thirty-four trillion, fifty-one billion, six hundred forty million, six thousand".