1004440332112 has 120 divisors (see below), whose sum is σ = 2313288547200. Its totient is φ = 421080791040.

The previous prime is 1004440332107. The next prime is 1004440332163. The reversal of 1004440332112 is 2112330444001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76674139 + ... + 76687237.

It is an arithmetic number, because the mean of its divisors is an integer number (19277404560).

Almost surely, 2^{1004440332112} 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 1004440332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156644273600).

1004440332112 is an abundant number, since it is smaller than the sum of its proper divisors (1308848215088).

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

1004440332112 is a wasteful number, since it uses less digits than its factorization.

1004440332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15249 (or 15236 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1004440332112 its reverse (2112330444001), we get a palindrome (3116770776113).

The spelling of 1004440332112 in words is "one trillion, four billion, four hundred forty million, three hundred thirty-two thousand, one hundred twelve".