406424304000 has 3072 divisors, whose sum is σ = 1926640235520. Its totient is φ = 83607552000.

The previous prime is 406424303981. The next prime is 406424304067. The reversal of 406424304000 is 403424604.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 9451727979 + ... + 9451728021.

It is an arithmetic number, because the mean of its divisors is an integer number (627161535).

Almost surely, 2^406424304000 is an apocalyptic number.

406424304000 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 406424304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963320117760).

406424304000 is an abundant number, since it is smaller than the sum of its proper divisors (1520215931520).

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

406424304000 is a wasteful number, since it uses less digits than its factorization.

406424304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 406424304000 its reverse (403424604), we get a palindrome (406827728604).

The spelling of 406424304000 in words is "four hundred six billion, four hundred twenty-four million, three hundred four thousand".