214420682080 has 192 divisors, whose sum is σ = 558654340608. Its totient is φ = 77122805760.

The previous prime is 214420682033. The next prime is 214420682101. The reversal of 214420682080 is 80286024412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144585019 + ... + 144586501.

It is an arithmetic number, because the mean of its divisors is an integer number (2909658024).

Almost surely, 2^214420682080 is an apocalyptic number.

214420682080 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 214420682080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279327170304).

214420682080 is an abundant number, since it is smaller than the sum of its proper divisors (344233658528).

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

214420682080 is a wasteful number, since it uses less digits than its factorization.

214420682080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 214420682080 in words is "two hundred fourteen billion, four hundred twenty million, six hundred eighty-two thousand, eighty".