409201279344 has 240 divisors, whose sum is σ = 1355092851840. Its totient is φ = 113637634560.

The previous prime is 409201279309. The next prime is 409201279349. The reversal of 409201279344 is 443972102904.

409201279344 is a `hidden beast` number, since 409 + 201 + 2 + 7 + 9 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 409201279344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409201279349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2790807 + ... + 2933769.

It is an arithmetic number, because the mean of its divisors is an integer number (5646220216).

Almost surely, 2^409201279344 is an apocalyptic number.

409201279344 is a gapful number since it is divisible by the number (44) 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 409201279344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677546425920).

409201279344 is an abundant number, since it is smaller than the sum of its proper divisors (945891572496).

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

409201279344 is a wasteful number, since it uses less digits than its factorization.

409201279344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143140 (or 143131 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 409201279344 in words is "four hundred nine billion, two hundred one million, two hundred seventy-nine thousand, three hundred forty-four".