32220041400 has 288 divisors, whose sum is σ = 111555493920. Its totient is φ = 8330112000.

The previous prime is 32220041323. The next prime is 32220041417. The reversal of 32220041400 is 414002223.

32220041400 is a `hidden beast` number, since 3 + 2 + 220 + 0 + 41 + 400 = 666.

It is a super-3 number, since 3×32220041400³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7793734 + ... + 7797866.

It is an arithmetic number, because the mean of its divisors is an integer number (387345465).

Almost surely, 2^32220041400 is an apocalyptic number.

32220041400 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 32220041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55777746960).

32220041400 is an abundant number, since it is smaller than the sum of its proper divisors (79335452520).

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

32220041400 is a wasteful number, since it uses less digits than its factorization.

32220041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 32220041400 its reverse (414002223), we get a palindrome (32634043623).

The spelling of 32220041400 in words is "thirty-two billion, two hundred twenty million, forty-one thousand, four hundred".