214010040 has 64 divisors (see below), whose sum is σ = 643088160. Its totient is φ = 56975360.

The previous prime is 214010039. The next prime is 214010047. The reversal of 214010040 is 40010412.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 214009998 and 214010025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214010047) 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 15 ways as a sum of consecutive naturals, for example, 101800 + ... + 103880.

Almost surely, 2^214010040 is an apocalyptic number.

214010040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214010040 is an abundant number, since it is smaller than the sum of its proper divisors (429078120).

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

214010040 is a wasteful number, since it uses less digits than its factorization.

214010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 214010040 is about 14629.0819944383. The cubic root of 214010040 is about 598.1517569531.

Adding to 214010040 its reverse (40010412), we get a palindrome (254020452).

The spelling of 214010040 in words is "two hundred fourteen million, ten thousand, forty".