3005405241000 has 128 divisors (see below), whose sum is σ = 9392682499200. Its totient is φ = 800089420800.

The previous prime is 3005405240993. The next prime is 3005405241031. The reversal of 3005405241000 is 1425045003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934311 + ... + 2623689.

It is an arithmetic number, because the mean of its divisors is an integer number (73380332025).

Almost surely, 2^{3005405241000} is an apocalyptic number.

3005405241000 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 3005405241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696341249600).

3005405241000 is an abundant number, since it is smaller than the sum of its proper divisors (6387277258200).

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

3005405241000 is a wasteful number, since it uses less digits than its factorization.

3005405241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689996 (or 1689982 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 3005405241000 in words is "three trillion, five billion, four hundred five million, two hundred forty-one thousand".