406752422160 has 320 divisors, whose sum is σ = 1534416076800. Its totient is φ = 88929308160.

The previous prime is 406752422147. The next prime is 406752422177. The reversal of 406752422160 is 61224257604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1785945 + ... + 2000775.

It is an arithmetic number, because the mean of its divisors is an integer number (4795050240).

Almost surely, 2^406752422160 is an apocalyptic number.

406752422160 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 406752422160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767208038400).

406752422160 is an abundant number, since it is smaller than the sum of its proper divisors (1127663654640).

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

406752422160 is a wasteful number, since it uses less digits than its factorization.

406752422160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214891 (or 214871 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

Adding to 406752422160 its reverse (61224257604), we get a palindrome (467976679764).

The spelling of 406752422160 in words is "four hundred six billion, seven hundred fifty-two million, four hundred twenty-two thousand, one hundred sixty".