414811022040 has 192 divisors, whose sum is σ = 1363084968960. Its totient is φ = 109395256320.

The previous prime is 414811022027. The next prime is 414811022071. The reversal of 414811022040 is 40220118414.

414811022040 is a `hidden beast` number, since 41 + 481 + 102 + 2 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 414811021995 and 414811022013.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14478930 + ... + 14507550.

It is an arithmetic number, because the mean of its divisors is an integer number (7099400880).

Almost surely, 2^414811022040 is an apocalyptic number.

414811022040 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 414811022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681542484480).

414811022040 is an abundant number, since it is smaller than the sum of its proper divisors (948273946920).

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

414811022040 is a wasteful number, since it uses less digits than its factorization.

414811022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29082 (or 29075 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 414811022040 in words is "four hundred fourteen billion, eight hundred eleven million, twenty-two thousand, forty".