406413324000 has 288 divisors, whose sum is σ = 1473055549056. Its totient is φ = 106070553600.

The previous prime is 406413323971. The next prime is 406413324007. The reversal of 406413324000 is 423314604.

406413324000 is a `hidden beast` number, since 4 + 0 + 6 + 413 + 3 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406413324007) 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, 1571902 + ... + 1812098.

It is an arithmetic number, because the mean of its divisors is an integer number (5114776212).

Almost surely, 2^406413324000 is an apocalyptic number.

406413324000 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 406413324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736527774528).

406413324000 is an abundant number, since it is smaller than the sum of its proper divisors (1066642225056).

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

406413324000 is a wasteful number, since it uses less digits than its factorization.

406413324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240275 (or 240254 counting only the distinct ones).

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

Adding to 406413324000 its reverse (423314604), we get a palindrome (406836638604).

The spelling of 406413324000 in words is "four hundred six billion, four hundred thirteen million, three hundred twenty-four thousand".