214204332403040 has 192 divisors, whose sum is σ = 599178665232000. Its totient is φ = 70804273053696.

The previous prime is 214204332403037. The next prime is 214204332403049. The reversal of 214204332403040 is 40304233402412.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 214204332402988 and 214204332403006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214204332403049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17118236 + ... + 26859684.

It is an arithmetic number, because the mean of its divisors is an integer number (3120722214750).

Almost surely, 2^{214204332403040} is an apocalyptic number.

214204332403040 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 214204332403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299589332616000).

214204332403040 is an abundant number, since it is smaller than the sum of its proper divisors (384974332828960).

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

214204332403040 is a wasteful number, since it uses less digits than its factorization.

214204332403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9742177 (or 9742169 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 214204332403040 its reverse (40304233402412), we get a palindrome (254508565805452).

The spelling of 214204332403040 in words is "two hundred fourteen trillion, two hundred four billion, three hundred thirty-two million, four hundred three thousand, forty".