406368336000 has 1536 divisors, whose sum is σ = 1595517880320. Its totient is φ = 91238400000.

The previous prime is 406368335993. The next prime is 406368336019. The reversal of 406368336000 is 633863604.

It is a self number, because there is not a number n which added to its sum of digits gives 406368336000.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6661775970 + ... + 6661776030.

It is an arithmetic number, because the mean of its divisors is an integer number (1038748620).

Almost surely, 2^406368336000 is an apocalyptic number.

406368336000 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 406368336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797758940160).

406368336000 is an abundant number, since it is smaller than the sum of its proper divisors (1189149544320).

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

406368336000 is a wasteful number, since it uses less digits than its factorization.

406368336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 406368336000 in words is "four hundred six billion, three hundred sixty-eight million, three hundred thirty-six thousand".