3130413122400 has 144 divisors (see below), whose sum is σ = 10212708844800. Its totient is φ = 832875010560.

The previous prime is 3130413122383. The next prime is 3130413122453. The reversal of 3130413122400 is 42213140313.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431980 + ... + 2539179.

It is an arithmetic number, because the mean of its divisors is an integer number (70921589200).

Almost surely, 2^{3130413122400} is an apocalyptic number.

3130413122400 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 3130413122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106354422400).

3130413122400 is an abundant number, since it is smaller than the sum of its proper divisors (7082295722400).

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

3130413122400 is a wasteful number, since it uses less digits than its factorization.

3130413122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971621 (or 2971608 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3130413122400 its reverse (42213140313), we get a palindrome (3172626262713).

The spelling of 3130413122400 in words is "three trillion, one hundred thirty billion, four hundred thirteen million, one hundred twenty-two thousand, four hundred".