3003026468940 has 576 divisors, whose sum is σ = 10087773696000. Its totient is φ = 719724085248.

The previous prime is 3003026468917. The next prime is 3003026468947. The reversal of 3003026468940 is 498646203003.

3003026468940 is a `hidden beast` number, since 300 + 3 + 0 + 264 + 6 + 89 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3003026468947) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5064125284 + ... + 5064125876.

It is an arithmetic number, because the mean of its divisors is an integer number (17513496000).

Almost surely, 2^{3003026468940} is an apocalyptic number.

3003026468940 is a gapful number since it is divisible by the number (30) 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 3003026468940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043886848000).

3003026468940 is an abundant number, since it is smaller than the sum of its proper divisors (7084747227060).

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

3003026468940 is a wasteful number, since it uses less digits than its factorization.

3003026468940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3003026468940 in words is "three trillion, three billion, twenty-six million, four hundred sixty-eight thousand, nine hundred forty".