1003000402144 has 96 divisors (see below), whose sum is σ = 2175555594240. Its totient is φ = 452350244352.

The previous prime is 1003000402139. The next prime is 1003000402153. The reversal of 1003000402144 is 4412040003001.

1003000402144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3976497 + ... + 4221199.

It is an arithmetic number, because the mean of its divisors is an integer number (22662037440).

Almost surely, 2^{1003000402144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003000402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087777797120).

1003000402144 is an abundant number, since it is smaller than the sum of its proper divisors (1172555192096).

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

1003000402144 is a wasteful number, since it uses less digits than its factorization.

1003000402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244952 (or 244944 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 1003000402144 its reverse (4412040003001), we get a palindrome (5415040405145).

The spelling of 1003000402144 in words is "one trillion, three billion, four hundred two thousand, one hundred forty-four".