214004003334000 has 640 divisors, whose sum is σ = 784552130878464. Its totient is φ = 49724167680000.

The previous prime is 214004003333873. The next prime is 214004003334131. The reversal of 214004003334000 is 433300400412.

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 127 ways as a sum of consecutive naturals, for example, 162960010 + ... + 164267990.

Almost surely, 2^{214004003334000} is an apocalyptic number.

214004003334000 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 214004003334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392276065439232).

214004003334000 is an abundant number, since it is smaller than the sum of its proper divisors (570548127544464).

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

214004003334000 is a wasteful number, since it uses less digits than its factorization.

214004003334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308122 (or 1308106 counting only the distinct ones).

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

Adding to 214004003334000 its reverse (433300400412), we get a palindrome (214437303734412).

The spelling of 214004003334000 in words is "two hundred fourteen trillion, four billion, three million, three hundred thirty-four thousand".