434340060000 has 960 divisors, whose sum is σ = 1820394487296. Its totient is φ = 88012800000.

The previous prime is 434340059971. The next prime is 434340060023. The reversal of 434340060000 is 60043434.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 189418854 + ... + 189421146.

Almost surely, 2^434340060000 is an apocalyptic number.

434340060000 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 434340060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910197243648).

434340060000 is an abundant number, since it is smaller than the sum of its proper divisors (1386054427296).

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

434340060000 is a wasteful number, since it uses less digits than its factorization.

434340060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The spelling of 434340060000 in words is "four hundred thirty-four billion, three hundred forty million, sixty thousand".