214101040 has 40 divisors (see below), whose sum is σ = 498718080. Its totient is φ = 85479936.

The previous prime is 214101023. The next prime is 214101059. The reversal of 214101040 is 40101412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 214101040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46356 + ... + 50764.

It is an arithmetic number, because the mean of its divisors is an integer number (12467952).

Almost surely, 2^214101040 is an apocalyptic number.

214101040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214101040 is an abundant number, since it is smaller than the sum of its proper divisors (284617040).

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

214101040 is a wasteful number, since it uses less digits than its factorization.

214101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 214101040 is about 14632.1919068880. The cubic root of 214101040 is about 598.2365257123.

Adding to 214101040 its reverse (40101412), we get a palindrome (254202452).

The spelling of 214101040 in words is "two hundred fourteen million, one hundred one thousand, forty".