1004214334312 has 128 divisors (see below), whose sum is σ = 2248874208000. Its totient is φ = 420097757184.

The previous prime is 1004214334237. The next prime is 1004214334337. The reversal of 1004214334312 is 2134334124001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 19404423 + ... + 19456105.

It is an arithmetic number, because the mean of its divisors is an integer number (17569329750).

Almost surely, 2^{1004214334312} 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 1004214334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124437104000).

1004214334312 is an abundant number, since it is smaller than the sum of its proper divisors (1244659873688).

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

1004214334312 is an equidigital number, since it uses as much as digits as its factorization.

1004214334312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51880 (or 51862 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1004214334312 its reverse (2134334124001), we get a palindrome (3138548458313).

The spelling of 1004214334312 in words is "one trillion, four billion, two hundred fourteen million, three hundred thirty-four thousand, three hundred twelve".