216010440 has 96 divisors (see below), whose sum is σ = 721052280. Its totient is φ = 56042496.

The previous prime is 216010429. The next prime is 216010447. The reversal of 216010440 is 44010612.

216010440 is a `hidden beast` number, since 21 + 601 + 0 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 214856964 + 1153476 = 14658^2 + 1074^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (216010447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5212 + ... + 21428.

Almost surely, 2^216010440 is an apocalyptic number.

216010440 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 216010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360526140).

216010440 is an abundant number, since it is smaller than the sum of its proper divisors (505041840).

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

216010440 is a wasteful number, since it uses less digits than its factorization.

216010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16271 (or 16264 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 216010440 is about 14697.2936284202. The cubic root of 216010440 is about 600.0096665109.

The spelling of 216010440 in words is "two hundred sixteen million, ten thousand, four hundred forty".