402224332200 has 192 divisors, whose sum is σ = 1266116880000. Its totient is φ = 105617571840.

The previous prime is 402224332193. The next prime is 402224332201. The reversal of 402224332200 is 2233422204.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (402224332201) 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, 11564436 + ... + 11599164.

It is an arithmetic number, because the mean of its divisors is an integer number (6594358750).

Almost surely, 2^402224332200 is an apocalyptic number.

402224332200 is a gapful number since it is divisible by the number (40) 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 402224332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633058440000).

402224332200 is an abundant number, since it is smaller than the sum of its proper divisors (863892547800).

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

402224332200 is a wasteful number, since it uses less digits than its factorization.

402224332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35044 (or 35035 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 402224332200 its reverse (2233422204), we get a palindrome (404457754404).

The spelling of 402224332200 in words is "four hundred two billion, two hundred twenty-four million, three hundred thirty-two thousand, two hundred".