1004341144104 has 192 divisors, whose sum is σ = 3019633344000. Its totient is φ = 311784085440.

The previous prime is 1004341144087. The next prime is 1004341144117. The reversal of 1004341144104 is 4014411434001.

1004341144104 is a `hidden beast` number, since 10 + 0 + 434 + 114 + 4 + 104 = 666.

It is a super-2 number, since 2×1004341144104² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1948789 + ... + 2409659.

It is an arithmetic number, because the mean of its divisors is an integer number (15727257000).

Almost surely, 2^{1004341144104} 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 1004341144104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509816672000).

1004341144104 is an abundant number, since it is smaller than the sum of its proper divisors (2015292199896).

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

1004341144104 is a wasteful number, since it uses less digits than its factorization.

1004341144104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460970 (or 460954 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1004341144104 its reverse (4014411434001), we get a palindrome (5018752578105).

The spelling of 1004341144104 in words is "one trillion, four billion, three hundred forty-one million, one hundred forty-four thousand, one hundred four".