3023130422400 has 768 divisors, whose sum is σ = 11009831040000. Its totient is φ = 723009945600.

The previous prime is 3023130422387. The next prime is 3023130422419. The reversal of 3023130422400 is 42240313203.

3023130422400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5427522922 + ... + 5427523478.

It is an arithmetic number, because the mean of its divisors is an integer number (14335717500).

Almost surely, 2^{3023130422400} is an apocalyptic number.

3023130422400 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 3023130422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504915520000).

3023130422400 is an abundant number, since it is smaller than the sum of its proper divisors (7986700617600).

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

3023130422400 is a wasteful number, since it uses less digits than its factorization.

3023130422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3023130422400 its reverse (42240313203), we get a palindrome (3065370735603).

The spelling of 3023130422400 in words is "three trillion, twenty-three billion, one hundred thirty million, four hundred twenty-two thousand, four hundred".