214413333040 has 40 divisors (see below), whose sum is σ = 498664945008. Its totient is φ = 85738848000.

The previous prime is 214413333031. The next prime is 214413333109. The reversal of 214413333040 is 40333314412.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152127 + ... + 672286.

Almost surely, 2^214413333040 is an apocalyptic number.

214413333040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214413333040 is an abundant number, since it is smaller than the sum of its proper divisors (284251611968).

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

214413333040 is a wasteful number, since it uses less digits than its factorization.

214413333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827677 (or 827671 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 214413333040 its reverse (40333314412), we get a palindrome (254746647452).

The spelling of 214413333040 in words is "two hundred fourteen billion, four hundred thirteen million, three hundred thirty-three thousand, forty".