214414503240 has 256 divisors, whose sum is σ = 767224742400. Its totient is φ = 46899707904.

The previous prime is 214414503239. The next prime is 214414503253. The reversal of 214414503240 is 42305414412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214414503198 and 214414503207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2713734 + ... + 2791626.

It is an arithmetic number, because the mean of its divisors is an integer number (2996971650).

Almost surely, 2^214414503240 is an apocalyptic number.

214414503240 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 214414503240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383612371200).

214414503240 is an abundant number, since it is smaller than the sum of its proper divisors (552810239160).

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

214414503240 is a wasteful number, since it uses less digits than its factorization.

214414503240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78056 (or 78052 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 214414503240 its reverse (42305414412), we get a palindrome (256719917652).

The spelling of 214414503240 in words is "two hundred fourteen billion, four hundred fourteen million, five hundred three thousand, two hundred forty".