406410414461010 has 160 divisors (see below), whose sum is σ = 1136926060756992. Its totient is φ = 104054278527360.

The previous prime is 406410414460933. The next prime is 406410414461039. The reversal of 406410414461010 is 10164414014604.

406410414461010 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 10 + 4 + 14 + 4 + 610 + 10 = 666.

It is a super-2 number, since 2×406410414461010² (a number of 30 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 60532297 + ... + 66910236.

Almost surely, 2^{406410414461010} is an apocalyptic number.

406410414461010 is an abundant number, since it is smaller than the sum of its proper divisors (730515646295982).

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

406410414461010 is a wasteful number, since it uses less digits than its factorization.

406410414461010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127442710 (or 127442701 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 406410414461010 its reverse (10164414014604), we get a palindrome (416574828475614).

The spelling of 406410414461010 in words is "four hundred six trillion, four hundred ten billion, four hundred fourteen million, four hundred sixty-one thousand, ten".