1004414241424 has 60 divisors (see below), whose sum is σ = 2264876062092. Its totient is φ = 429695918080.

The previous prime is 1004414241371. The next prime is 1004414241427. The reversal of 1004414241424 is 4241424144001.

It can be written as a sum of positive squares in 2 ways, for example, as 763596345600 + 240817895824 = 873840^2 + 490732^2 .

It is not an unprimeable number, because it can be changed into a prime (1004414241427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15226177 + ... + 15292000.

Almost surely, 2^{1004414241424} is an apocalyptic number.

It is an amenable number.

1004414241424 is an abundant number, since it is smaller than the sum of its proper divisors (1260461820668).

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

1004414241424 is a wasteful number, since it uses less digits than its factorization.

1004414241424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30518224 (or 30518207 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 1004414241424 its reverse (4241424144001), we get a palindrome (5245838385425).

The spelling of 1004414241424 in words is "one trillion, four billion, four hundred fourteen million, two hundred forty-one thousand, four hundred twenty-four".