406264320000 has 1560 divisors, whose sum is σ = 1836243963840. Its totient is φ = 84049920000.

The previous prime is 406264319939. The next prime is 406264320019. The reversal of 406264320000 is 23462604.

406264320000 is a `hidden beast` number, since 4 + 0 + 626 + 4 + 32 + 0 + 0 + 0 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 1774079886 + ... + 1774080114.

It is an arithmetic number, because the mean of its divisors is an integer number (1177079464).

Almost surely, 2^406264320000 is an apocalyptic number.

406264320000 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 406264320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918121981920).

406264320000 is an abundant number, since it is smaller than the sum of its proper divisors (1429979643840).

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

406264320000 is a wasteful number, since it uses less digits than its factorization.

406264320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 406264320000 its reverse (23462604), we get a palindrome (406287782604).

The spelling of 406264320000 in words is "four hundred six billion, two hundred sixty-four million, three hundred twenty thousand".