406199568000 has 256 divisors, whose sum is σ = 1375209239040. Its totient is φ = 106014617600.

The previous prime is 406199567987. The next prime is 406199568037. The reversal of 406199568000 is 865991604.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2165974 + ... + 2346026.

It is an arithmetic number, because the mean of its divisors is an integer number (5371911090).

Almost surely, 2^406199568000 is an apocalyptic number.

406199568000 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 406199568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687604619520).

406199568000 is an abundant number, since it is smaller than the sum of its proper divisors (969009671040).

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

406199568000 is a wasteful number, since it uses less digits than its factorization.

406199568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180132 (or 180110 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 406199568000 in words is "four hundred six billion, one hundred ninety-nine million, five hundred sixty-eight thousand".