409340313144 has 192 divisors, whose sum is σ = 1278368931840. Its totient is φ = 115907500800.

The previous prime is 409340313139. The next prime is 409340313199. The reversal of 409340313144 is 441313043904.

It is a super-3 number, since 3×409340313144³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 409340313099 and 409340313108.

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 47 ways as a sum of consecutive naturals, for example, 69957819 + ... + 69963669.

It is an arithmetic number, because the mean of its divisors is an integer number (6658171520).

Almost surely, 2^409340313144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409340313144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639184465920).

409340313144 is an abundant number, since it is smaller than the sum of its proper divisors (869028618696).

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

409340313144 is a wasteful number, since it uses less digits than its factorization.

409340313144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 409340313144 in words is "four hundred nine billion, three hundred forty million, three hundred thirteen thousand, one hundred forty-four".