214324258794240 has 1152 divisors, whose sum is σ = 815065361510400. Its totient is φ = 46960689807360.

The previous prime is 214324258794209. The next prime is 214324258794419. The reversal of 214324258794240 is 42497852423412.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149981985846 + ... + 149981987274.

It is an arithmetic number, because the mean of its divisors is an integer number (707522015200).

Almost surely, 2^{214324258794240} is an apocalyptic number.

214324258794240 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 214324258794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407532680755200).

214324258794240 is an abundant number, since it is smaller than the sum of its proper divisors (600741102716160).

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

214324258794240 is a wasteful number, since it uses less digits than its factorization.

214324258794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 214324258794240 in words is "two hundred fourteen trillion, three hundred twenty-four billion, two hundred fifty-eight million, seven hundred ninety-four thousand, two hundred forty".