214354571420000 has 240 divisors, whose sum is σ = 575447033467152. Its totient is φ = 77925135360000.

The previous prime is 214354571419987. The next prime is 214354571420047. The reversal of 214354571420000 is 24175453412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 790324412 + ... + 790595588.

Almost surely, 2^{214354571420000} is an apocalyptic number.

214354571420000 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 214354571420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287723516733576).

214354571420000 is an abundant number, since it is smaller than the sum of its proper divisors (361092462047152).

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

214354571420000 is a wasteful number, since it uses less digits than its factorization.

214354571420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274811 (or 274788 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The spelling of 214354571420000 in words is "two hundred fourteen trillion, three hundred fifty-four billion, five hundred seventy-one million, four hundred twenty thousand".