406018319880 has 128 divisors (see below), whose sum is σ = 1261331481600. Its totient is φ = 104432305152.

The previous prime is 406018319849. The next prime is 406018319881. The reversal of 406018319880 is 88913810604.

It is a super-4 number, since 4×406018319880⁴ (a number of 48 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (406018319881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3411049 + ... + 3528071.

It is an arithmetic number, because the mean of its divisors is an integer number (9854152200).

Almost surely, 2^406018319880 is an apocalyptic number.

406018319880 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 406018319880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630665740800).

406018319880 is an abundant number, since it is smaller than the sum of its proper divisors (855313161720).

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

406018319880 is a wasteful number, since it uses less digits than its factorization.

406018319880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118063 (or 118059 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 406018319880 in words is "four hundred six billion, eighteen million, three hundred nineteen thousand, eight hundred eighty".