213971940000 has 720 divisors, whose sum is σ = 935899316352. Its totient is φ = 45142272000.

The previous prime is 213971939963. The next prime is 213971940001. The reversal of 213971940000 is 49179312.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×213971940000³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (213971940001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16373469 + ... + 16386531.

Almost surely, 2^213971940000 is an apocalyptic number.

213971940000 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 213971940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467949658176).

213971940000 is an abundant number, since it is smaller than the sum of its proper divisors (721927376352).

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

213971940000 is a wasteful number, since it uses less digits than its factorization.

213971940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13119 (or 13093 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 213971940000 in words is "two hundred thirteen billion, nine hundred seventy-one million, nine hundred forty thousand".