1003335144420 has 288 divisors, whose sum is σ = 3325312134144. Its totient is φ = 221419042560.

The previous prime is 1003335144407. The next prime is 1003335144463. The reversal of 1003335144420 is 244415333001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188487879 + ... + 188493201.

It is an arithmetic number, because the mean of its divisors is an integer number (11546222688).

Almost surely, 2^{1003335144420} is an apocalyptic number.

1003335144420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003335144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662656067072).

1003335144420 is an abundant number, since it is smaller than the sum of its proper divisors (2321976989724).

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

1003335144420 is a wasteful number, since it uses less digits than its factorization.

1003335144420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5871 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 1003335144420 in words is "one trillion, three billion, three hundred thirty-five million, one hundred forty-four thousand, four hundred twenty".