3132413420200 has 192 divisors, whose sum is σ = 7646710579200. Its totient is φ = 1191930163200.

The previous prime is 3132413420197. The next prime is 3132413420203. The reversal of 3132413420200 is 20243142313.

It is an interprime number because it is at equal distance from previous prime (3132413420197) and next prime (3132413420203).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3132413420203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 85808352 + ... + 85844848.

It is an arithmetic number, because the mean of its divisors is an integer number (39826617600).

Almost surely, 2^{3132413420200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132413420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823355289600).

3132413420200 is an abundant number, since it is smaller than the sum of its proper divisors (4514297159000).

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

3132413420200 is a wasteful number, since it uses less digits than its factorization.

3132413420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36780 (or 36771 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 3132413420200 its reverse (20243142313), we get a palindrome (3152656562513).

The spelling of 3132413420200 in words is "three trillion, one hundred thirty-two billion, four hundred thirteen million, four hundred twenty thousand, two hundred".