1004410135344 has 80 divisors (see below), whose sum is σ = 3234983304960. Its totient is φ = 260885748480.

The previous prime is 1004410135331. The next prime is 1004410135349. The reversal of 1004410135344 is 4435310144001.

It is not an unprimeable number, because it can be changed into a prime (1004410135349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135874299 + ... + 135881690.

It is an arithmetic number, because the mean of its divisors is an integer number (40437291312).

Almost surely, 2^{1004410135344} is an apocalyptic number.

1004410135344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004410135344 is an abundant number, since it is smaller than the sum of its proper divisors (2230573169616).

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

1004410135344 is a wasteful number, since it uses less digits than its factorization.

1004410135344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271756018 (or 271756012 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1004410135344 its reverse (4435310144001), we get a palindrome (5439720279345).

The spelling of 1004410135344 in words is "one trillion, four billion, four hundred ten million, one hundred thirty-five thousand, three hundred forty-four".