214840080000 has 1280 divisors, whose sum is σ = 976082553600. Its totient is φ = 45287424000.

The previous prime is 214840079983. The next prime is 214840080011. The reversal of 214840080000 is 80048412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 196559454 + ... + 196560546.

It is an arithmetic number, because the mean of its divisors is an integer number (762564495).

Almost surely, 2^214840080000 is an apocalyptic number.

214840080000 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 214840080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488041276800).

214840080000 is an abundant number, since it is smaller than the sum of its proper divisors (761242473600).

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

214840080000 is a wasteful number, since it uses less digits than its factorization.

214840080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 214840080000 in words is "two hundred fourteen billion, eight hundred forty million, eighty thousand".