402224343400 has 192 divisors, whose sum is σ = 1051173881280. Its totient is φ = 141846681600.

The previous prime is 402224343383. The next prime is 402224343407. The reversal of 402224343400 is 4343422204.

It is a happy number.

It is a super-2 number, since 2×402224343400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (402224343407) 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 47 ways as a sum of consecutive naturals, for example, 25470307 + ... + 25486093.

It is an arithmetic number, because the mean of its divisors is an integer number (5474863965).

Almost surely, 2^402224343400 is an apocalyptic number.

402224343400 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 402224343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525586940640).

402224343400 is an abundant number, since it is smaller than the sum of its proper divisors (648949537880).

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

402224343400 is a wasteful number, since it uses less digits than its factorization.

402224343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16164 (or 16155 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 402224343400 its reverse (4343422204), we get a palindrome (406567765604).

The spelling of 402224343400 in words is "four hundred two billion, two hundred twenty-four million, three hundred forty-three thousand, four hundred".