409071820148 has 12 divisors (see below), whose sum is σ = 757986019812. Its totient is φ = 192504385920.

The previous prime is 409071820121. The next prime is 409071820151. The reversal of 409071820148 is 841028170904.

It can be written as a sum of positive squares in 2 ways, for example, as 305740431844 + 103331388304 = 552938^2 + 321452^2 .

It is a super-3 number, since 3×409071820148³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 409071820099 and 409071820108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3007880963 + ... + 3007881098.

It is an arithmetic number, because the mean of its divisors is an integer number (63165501651).

Almost surely, 2^409071820148 is an apocalyptic number.

It is an amenable number.

409071820148 is a deficient number, since it is larger than the sum of its proper divisors (348914199664).

409071820148 is a wasteful number, since it uses less digits than its factorization.

409071820148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015762082 (or 6015762080 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 409071820148 in words is "four hundred nine billion, seventy-one million, eight hundred twenty thousand, one hundred forty-eight".