3032221412400 has 240 divisors, whose sum is σ = 9928456395264. Its totient is φ = 790704112640.

The previous prime is 3032221412393. The next prime is 3032221412449. The reversal of 3032221412400 is 42141222303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66924154 + ... + 66969446.

Almost surely, 2^{3032221412400} is an apocalyptic number.

3032221412400 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 3032221412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964228197632).

3032221412400 is an abundant number, since it is smaller than the sum of its proper divisors (6896234982864).

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

3032221412400 is a wasteful number, since it uses less digits than its factorization.

3032221412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46548 (or 46537 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3032221412400 its reverse (42141222303), we get a palindrome (3074362634703).

The spelling of 3032221412400 in words is "three trillion, thirty-two billion, two hundred twenty-one million, four hundred twelve thousand, four hundred".