3221411042400 has 576 divisors, whose sum is σ = 11748568043520. Its totient is φ = 761912524800.

The previous prime is 3221411042371. The next prime is 3221411042401. The reversal of 3221411042400 is 42401141223.

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 (3221411042401) 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 95 ways as a sum of consecutive naturals, for example, 148052322 + ... + 148074078.

It is an arithmetic number, because the mean of its divisors is an integer number (20396819520).

Almost surely, 2^{3221411042400} is an apocalyptic number.

3221411042400 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 3221411042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874284021760).

3221411042400 is an abundant number, since it is smaller than the sum of its proper divisors (8527157001120).

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

3221411042400 is a wasteful number, since it uses less digits than its factorization.

3221411042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22007 (or 21994 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3221411042400 its reverse (42401141223), we get a palindrome (3263812183623).

The spelling of 3221411042400 in words is "three trillion, two hundred twenty-one billion, four hundred eleven million, forty-two thousand, four hundred".