214130040 has 64 divisors (see below), whose sum is σ = 650160000. Its totient is φ = 56410752.

The previous prime is 214130027. The next prime is 214130047. The reversal of 214130040 is 40031412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214130047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790 + ... + 20709.

It is an arithmetic number, because the mean of its divisors is an integer number (10158750).

Almost surely, 2^214130040 is an apocalyptic number.

214130040 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 214130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325080000).

214130040 is an abundant number, since it is smaller than the sum of its proper divisors (436029960).

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

214130040 is a wasteful number, since it uses less digits than its factorization.

214130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21596 (or 21592 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 214130040 is about 14633.1828390135. The cubic root of 214130040 is about 598.2635348852.

Adding to 214130040 its reverse (40031412), we get a palindrome (254161452).

The spelling of 214130040 in words is "two hundred fourteen million, one hundred thirty thousand, forty".