214112452040 has 64 divisors (see below), whose sum is σ = 510485016960. Its totient is φ = 80544844800.

The previous prime is 214112452027. The next prime is 214112452061. The reversal of 214112452040 is 40254211412.

214112452040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765215 + ... + 1006865.

It is an arithmetic number, because the mean of its divisors is an integer number (7976328390).

Almost surely, 2^214112452040 is an apocalyptic number.

214112452040 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 214112452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255242508480).

214112452040 is an abundant number, since it is smaller than the sum of its proper divisors (296372564920).

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

214112452040 is a wasteful number, since it uses less digits than its factorization.

214112452040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242982 (or 242978 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 214112452040 its reverse (40254211412), we get a palindrome (254366663452).

The spelling of 214112452040 in words is "two hundred fourteen billion, one hundred twelve million, four hundred fifty-two thousand, forty".