3040331102400 has 336 divisors, whose sum is σ = 10416852993024. Its totient is φ = 774883000320.

The previous prime is 3040331102383. The next prime is 3040331102407. The reversal of 3040331102400 is 42011330403.

3040331102400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3040331102400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3040331102407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146490424 + ... + 146511176.

Almost surely, 2^{3040331102400} is an apocalyptic number.

3040331102400 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 3040331102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208426496512).

3040331102400 is an abundant number, since it is smaller than the sum of its proper divisors (7376521890624).

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

3040331102400 is a wasteful number, since it uses less digits than its factorization.

3040331102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22128 (or 22113 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3040331102400 its reverse (42011330403), we get a palindrome (3082342432803).

The spelling of 3040331102400 in words is "three trillion, forty billion, three hundred thirty-one million, one hundred two thousand, four hundred".