1003004414120 has 16 divisors (see below), whose sum is σ = 2256759931860. Its totient is φ = 401201765632.

The previous prime is 1003004414119. The next prime is 1003004414149. The reversal of 1003004414120 is 214144003001.

It can be written as a sum of positive squares in 2 ways, for example, as 1002773920996 + 230493124 = 1001386^2 + 15182^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1003004414092 and 1003004414101.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12537555137 + ... + 12537555216.

Almost surely, 2^{1003004414120} is an apocalyptic number.

1003004414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003004414120 is an abundant number, since it is smaller than the sum of its proper divisors (1253755517740).

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

1003004414120 is a wasteful number, since it uses less digits than its factorization.

1003004414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25075110364 (or 25075110360 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1003004414120 its reverse (214144003001), we get a palindrome (1217148417121).

The spelling of 1003004414120 in words is "one trillion, three billion, four million, four hundred fourteen thousand, one hundred twenty".