333001003340 has 72 divisors (see below), whose sum is σ = 725511468528. Its totient is φ = 128318722560.

The previous prime is 333001003261. The next prime is 333001003397. The reversal of 333001003340 is 43300100333.

It is a super-2 number, since 2×333001003340² (a number of 24 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4546610 + ... + 4619270.

It is an arithmetic number, because the mean of its divisors is an integer number (10076548174).

Almost surely, 2^333001003340 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 333001003340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362755734264).

333001003340 is an abundant number, since it is smaller than the sum of its proper divisors (392510465188).

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

333001003340 is a wasteful number, since it uses less digits than its factorization.

333001003340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72859 (or 72784 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 333001003340 its reverse (43300100333), we get a palindrome (376301103673).

The spelling of 333001003340 in words is "three hundred thirty-three billion, one million, three thousand, three hundred forty".