3022413043200 has 480 divisors, whose sum is σ = 10141766659200. Its totient is φ = 793316229120.

The previous prime is 3022413043193. The next prime is 3022413043207. The reversal of 3022413043200 is 23403142203.

It is an interprime number because it is at equal distance from previous prime (3022413043193) and next prime (3022413043207).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3022413043207) 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, 2071564071 + ... + 2071565529.

It is an arithmetic number, because the mean of its divisors is an integer number (21128680540).

Almost surely, 2^{3022413043200} is an apocalyptic number.

3022413043200 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 3022413043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070883329600).

3022413043200 is an abundant number, since it is smaller than the sum of its proper divisors (7119353616000).

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

3022413043200 is a wasteful number, since it uses less digits than its factorization.

3022413043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2281 counting only the distinct ones).

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

Adding to 3022413043200 its reverse (23403142203), we get a palindrome (3045816185403).

The spelling of 3022413043200 in words is "three trillion, twenty-two billion, four hundred thirteen million, forty-three thousand, two hundred".