210144431130414 has 128 divisors (see below), whose sum is σ = 464537700532224. Its totient is φ = 62846528976000.

The previous prime is 210144431130401. The next prime is 210144431130449. The reversal of 210144431130414 is 414031134441012.

It is a super-2 number, since 2×210144431130414² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 14582216869 + ... + 14582231279.

It is an arithmetic number, because the mean of its divisors is an integer number (3629200785408).

Almost surely, 2^{210144431130414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210144431130414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232268850266112).

210144431130414 is an abundant number, since it is smaller than the sum of its proper divisors (254393269401810).

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

210144431130414 is a wasteful number, since it uses less digits than its factorization.

210144431130414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23582.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 210144431130414 its reverse (414031134441012), we get a palindrome (624175565571426).

The spelling of 210144431130414 in words is "two hundred ten trillion, one hundred forty-four billion, four hundred thirty-one million, one hundred thirty thousand, four hundred fourteen".