1003001214440 has 16 divisors (see below), whose sum is σ = 2256752732580. Its totient is φ = 401200485760.

The previous prime is 1003001214409. The next prime is 1003001214451. The reversal of 1003001214440 is 444121003001.

It can be written as a sum of positive squares in 2 ways, for example, as 917108844964 + 85892369476 = 957658^2 + 293074^2 .

It is a super-2 number, since 2×1003001214440² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12537515141 + ... + 12537515220.

Almost surely, 2^{1003001214440} is an apocalyptic number.

1003001214440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003001214440 is an abundant number, since it is smaller than the sum of its proper divisors (1253751518140).

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

1003001214440 is a wasteful number, since it uses less digits than its factorization.

1003001214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25075030372 (or 25075030368 counting only the distinct ones).

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

Adding to 1003001214440 its reverse (444121003001), we get a palindrome (1447122217441).

The spelling of 1003001214440 in words is "one trillion, three billion, one million, two hundred fourteen thousand, four hundred forty".