214384838640 has 320 divisors, whose sum is σ = 800138787840. Its totient is φ = 46386708480.

The previous prime is 214384838581. The next prime is 214384838663. The reversal of 214384838640 is 46838483412.

214384838640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 68339152 + ... + 68342288.

It is an arithmetic number, because the mean of its divisors is an integer number (2500433712).

Almost surely, 2^214384838640 is an apocalyptic number.

214384838640 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 214384838640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400069393920).

214384838640 is an abundant number, since it is smaller than the sum of its proper divisors (585753949200).

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

214384838640 is a wasteful number, since it uses less digits than its factorization.

214384838640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5320 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 51.

The spelling of 214384838640 in words is "two hundred fourteen billion, three hundred eighty-four million, eight hundred thirty-eight thousand, six hundred forty".