1004344130034 has 128 divisors (see below), whose sum is σ = 2581174080000. Its totient is φ = 283533364224.

The previous prime is 1004344130017. The next prime is 1004344130059. The reversal of 1004344130034 is 4300314434001.

1004344130034 is a `hidden beast` number, since 10 + 0 + 4 + 344 + 1 + 300 + 3 + 4 = 666.

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 63 ways as a sum of consecutive naturals, for example, 52101822 + ... + 52121094.

It is an arithmetic number, because the mean of its divisors is an integer number (20165422500).

Almost surely, 2^{1004344130034} is an apocalyptic number.

1004344130034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004344130034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290587040000).

1004344130034 is an abundant number, since it is smaller than the sum of its proper divisors (1576829949966).

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

1004344130034 is a wasteful number, since it uses less digits than its factorization.

1004344130034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20929 (or 20923 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1004344130034 its reverse (4300314434001), we get a palindrome (5304658564035).

The spelling of 1004344130034 in words is "one trillion, four billion, three hundred forty-four million, one hundred thirty thousand, thirty-four".