406128226200 has 384 divisors, whose sum is σ = 1342601568000. Its totient is φ = 101267712000.

The previous prime is 406128226123. The next prime is 406128226201. The reversal of 406128226200 is 2622821604.

It is a super-2 number, since 2×406128226200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406128226201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 312165550 + ... + 312166850.

It is an arithmetic number, because the mean of its divisors is an integer number (3496358250).

Almost surely, 2^406128226200 is an apocalyptic number.

406128226200 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 406128226200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671300784000).

406128226200 is an abundant number, since it is smaller than the sum of its proper divisors (936473341800).

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

406128226200 is a wasteful number, since it uses less digits than its factorization.

406128226200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 406128226200 in words is "four hundred six billion, one hundred twenty-eight million, two hundred twenty-six thousand, two hundred".