1004401334244 has 192 divisors, whose sum is σ = 3050567331840. Its totient is φ = 249407009280.

The previous prime is 1004401334173. The next prime is 1004401334269. The reversal of 1004401334244 is 4424331044001.

It is a super-2 number, since 2×1004401334244² (a number of 25 digits) contains 22 as substring.

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, 43108662 + ... + 43131954.

It is an arithmetic number, because the mean of its divisors is an integer number (15888371520).

Almost surely, 2^{1004401334244} is an apocalyptic number.

1004401334244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004401334244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525283665920).

1004401334244 is an abundant number, since it is smaller than the sum of its proper divisors (2046165997596).

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

1004401334244 is a wasteful number, since it uses less digits than its factorization.

1004401334244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25370 (or 25368 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1004401334244 its reverse (4424331044001), we get a palindrome (5428732378245).

The spelling of 1004401334244 in words is "one trillion, four billion, four hundred one million, three hundred thirty-four thousand, two hundred forty-four".