406200568320 has 480 divisors, whose sum is σ = 1484551411200. Its totient is φ = 102361300992.

The previous prime is 406200568313. The next prime is 406200568349. The reversal of 406200568320 is 23865002604.

406200568320 is a `hidden beast` number, since 4 + 0 + 62 + 0 + 0 + 568 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222818929 + ... + 222820751.

It is an arithmetic number, because the mean of its divisors is an integer number (3092815440).

Almost surely, 2^406200568320 is an apocalyptic number.

406200568320 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 406200568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742275705600).

406200568320 is an abundant number, since it is smaller than the sum of its proper divisors (1078350842880).

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

406200568320 is a wasteful number, since it uses less digits than its factorization.

406200568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 406200568320 in words is "four hundred six billion, two hundred million, five hundred sixty-eight thousand, three hundred twenty".