406185230880 has 1152 divisors, whose sum is σ = 1729036108800. Its totient is φ = 88728514560.

The previous prime is 406185230839. The next prime is 406185230921. The reversal of 406185230880 is 88032581604.

406185230880 is a `hidden beast` number, since 4 + 0 + 618 + 5 + 23 + 0 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (406185230839) and next prime (406185230921).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 239072271 + ... + 239073969.

It is an arithmetic number, because the mean of its divisors is an integer number (1500899400).

Almost surely, 2^406185230880 is an apocalyptic number.

406185230880 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 406185230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864518054400).

406185230880 is an abundant number, since it is smaller than the sum of its proper divisors (1322850877920).

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

406185230880 is a wasteful number, since it uses less digits than its factorization.

406185230880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 406185230880 in words is "four hundred six billion, one hundred eighty-five million, two hundred thirty thousand, eight hundred eighty".