434123214000 has 640 divisors, whose sum is σ = 1682129479680. Its totient is φ = 94219776000.

The previous prime is 434123213957. The next prime is 434123214013. The reversal of 434123214000 is 412321434.

It is a super-3 number, since 3×434123214000³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74295079 + ... + 74300921.

It is an arithmetic number, because the mean of its divisors is an integer number (2628327312).

Almost surely, 2^434123214000 is an apocalyptic number.

434123214000 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 434123214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841064739840).

434123214000 is an abundant number, since it is smaller than the sum of its proper divisors (1248006265680).

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

434123214000 is a wasteful number, since it uses less digits than its factorization.

434123214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 434123214000 its reverse (412321434), we get a palindrome (434535535434).

The spelling of 434123214000 in words is "four hundred thirty-four billion, one hundred twenty-three million, two hundred fourteen thousand".