214211040000 has 180 divisors, whose sum is σ = 712415747736. Its totient is φ = 57122816000.

The previous prime is 214211039983. The next prime is 214211040011. The reversal of 214211040000 is 40112412.

214211040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 19 ways as a sum of consecutive naturals, for example, 256864 + ... + 703136.

Almost surely, 2^214211040000 is an apocalyptic number.

214211040000 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 214211040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356207873868).

214211040000 is an abundant number, since it is smaller than the sum of its proper divisors (498204707736).

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

214211040000 is an frugal number, since it uses more digits than its factorization.

214211040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446312 (or 446283 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 214211040000 its reverse (40112412), we get a palindrome (214251152412).

The spelling of 214211040000 in words is "two hundred fourteen billion, two hundred eleven million, forty thousand".