214501043130 has 128 divisors (see below), whose sum is σ = 601859414016. Its totient is φ = 48395001600.

The previous prime is 214501043117. The next prime is 214501043137. The reversal of 214501043130 is 31340105412.

It is a happy number.

214501043130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 214501043130.

It is not an unprimeable number, because it can be changed into a prime (214501043137) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 101076 + ... + 662735.

It is an arithmetic number, because the mean of its divisors is an integer number (4702026672).

Almost surely, 2^214501043130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214501043130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300929707008).

214501043130 is an abundant number, since it is smaller than the sum of its proper divisors (387358370886).

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

214501043130 is a wasteful number, since it uses less digits than its factorization.

214501043130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763892.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 214501043130 its reverse (31340105412), we get a palindrome (245841148542).

The spelling of 214501043130 in words is "two hundred fourteen billion, five hundred one million, forty-three thousand, one hundred thirty".