406316144040 has 64 divisors (see below), whose sum is σ = 1226426702400. Its totient is φ = 107686236672.

The previous prime is 406316144021. The next prime is 406316144081. The reversal of 406316144040 is 40441613604.

It is a junction number, because it is equal to n+sod(n) for n = 406316143992 and 406316144010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10366845 + ... + 10405964.

It is an arithmetic number, because the mean of its divisors is an integer number (19162917225).

Almost surely, 2^406316144040 is an apocalyptic number.

406316144040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406316144040 is an abundant number, since it is smaller than the sum of its proper divisors (820110558360).

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

406316144040 is a wasteful number, since it uses less digits than its factorization.

406316144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20772986 (or 20772982 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 406316144040 its reverse (40441613604), we get a palindrome (446757757644).

The spelling of 406316144040 in words is "four hundred six billion, three hundred sixteen million, one hundred forty-four thousand, forty".