1004134063104 has 264 divisors, whose sum is σ = 3054942800000. Its totient is φ = 316791005184.

The previous prime is 1004134063103. The next prime is 1004134063169. The reversal of 1004134063104 is 4013604314001.

1004134063104 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 340 + 6 + 310 + 4 = 666.

It is a super-2 number, since 2×1004134063104² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004134063103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244968447 + ... + 244972545.

Almost surely, 2^{1004134063104} 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 1004134063104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527471400000).

1004134063104 is an abundant number, since it is smaller than the sum of its proper divisors (2050808736896).

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

1004134063104 is a wasteful number, since it uses less digits than its factorization.

1004134063104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1004134063104 its reverse (4013604314001), we get a palindrome (5017738377105).

The spelling of 1004134063104 in words is "one trillion, four billion, one hundred thirty-four million, sixty-three thousand, one hundred four".