406026262320 has 320 divisors, whose sum is σ = 1518027125760. Its totient is φ = 87699456000.

The previous prime is 406026262237. The next prime is 406026262351. The reversal of 406026262320 is 23262620604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12784060 + ... + 12815780.

It is an arithmetic number, because the mean of its divisors is an integer number (4743834768).

Almost surely, 2^406026262320 is an apocalyptic number.

406026262320 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 406026262320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759013562880).

406026262320 is an abundant number, since it is smaller than the sum of its proper divisors (1112000863440).

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

406026262320 is a wasteful number, since it uses less digits than its factorization.

406026262320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32164 (or 32158 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 406026262320 its reverse (23262620604), we get a palindrome (429288882924).

The spelling of 406026262320 in words is "four hundred six billion, twenty-six million, two hundred sixty-two thousand, three hundred twenty".