214260664140 has 144 divisors (see below), whose sum is σ = 684341330400. Its totient is φ = 54112333824.

The previous prime is 214260664139. The next prime is 214260664151. The reversal of 214260664140 is 41466062412.

214260664140 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 6 + 0 + 6 + 641 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214260664095 and 214260664104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14113594 + ... + 14128766.

It is an arithmetic number, because the mean of its divisors is an integer number (4752370350).

Almost surely, 2^214260664140 is an apocalyptic number.

214260664140 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 214260664140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342170665200).

214260664140 is an abundant number, since it is smaller than the sum of its proper divisors (470080666260).

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

214260664140 is a wasteful number, since it uses less digits than its factorization.

214260664140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19336 (or 19331 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 214260664140 in words is "two hundred fourteen billion, two hundred sixty million, six hundred sixty-four thousand, one hundred forty".