214212044040 has 128 divisors (see below), whose sum is σ = 660882706560. Its totient is φ = 55521449984.

The previous prime is 214212044023. The next prime is 214212044077. The reversal of 214212044040 is 40440212412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214212044040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523132 + ... + 837908.

It is an arithmetic number, because the mean of its divisors is an integer number (5163146145).

Almost surely, 2^214212044040 is an apocalyptic number.

214212044040 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 214212044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330441353280).

214212044040 is an abundant number, since it is smaller than the sum of its proper divisors (446670662520).

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

214212044040 is a wasteful number, since it uses less digits than its factorization.

214212044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314951 (or 314947 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 214212044040 its reverse (40440212412), we get a palindrome (254652256452).

The spelling of 214212044040 in words is "two hundred fourteen billion, two hundred twelve million, forty-four thousand, forty".