214000034424000 has 448 divisors, whose sum is σ = 772584314112000. Its totient is φ = 51763224576000.

The previous prime is 214000034423983. The next prime is 214000034424019. The reversal of 214000034424000 is 424430000412.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 117633321 + ... + 119438679.

Almost surely, 2^{214000034424000} is an apocalyptic number.

214000034424000 is a gapful number since it is divisible by the number (20) 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 214000034424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386292157056000).

214000034424000 is an abundant number, since it is smaller than the sum of its proper divisors (558584279688000).

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

214000034424000 is a wasteful number, since it uses less digits than its factorization.

214000034424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805849 (or 1805829 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 214000034424000 its reverse (424430000412), we get a palindrome (214424464424412).

The spelling of 214000034424000 in words is "two hundred fourteen trillion, thirty-four million, four hundred twenty-four thousand".