1000214130304 has 128 divisors (see below), whose sum is σ = 2172170278080. Its totient is φ = 456915271680.

The previous prime is 1000214130299. The next prime is 1000214130337. The reversal of 1000214130304 is 4030314120001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1000214130304² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15218794 + ... + 15284374.

Almost surely, 2^{1000214130304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000214130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086085139040).

1000214130304 is an abundant number, since it is smaller than the sum of its proper divisors (1171956147776).

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

1000214130304 is a wasteful number, since it uses less digits than its factorization.

1000214130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65818 (or 65806 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1000214130304 its reverse (4030314120001), we get a palindrome (5030528250305).

The spelling of 1000214130304 in words is "one trillion, two hundred fourteen million, one hundred thirty thousand, three hundred four".