3042241310400 has 672 divisors, whose sum is σ = 10663834042368. Its totient is φ = 756675379200.

The previous prime is 3042241310351. The next prime is 3042241310489. The reversal of 3042241310400 is 40131422403.

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 95 ways as a sum of consecutive naturals, for example, 7943188609 + ... + 7943188991.

Almost surely, 2^{3042241310400} is an apocalyptic number.

3042241310400 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 3042241310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331917021184).

3042241310400 is an abundant number, since it is smaller than the sum of its proper divisors (7621592731968).

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

3042241310400 is a wasteful number, since it uses less digits than its factorization.

3042241310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3042241310400 its reverse (40131422403), we get a palindrome (3082372732803).

The spelling of 3042241310400 in words is "three trillion, forty-two billion, two hundred forty-one million, three hundred ten thousand, four hundred".