409537410048 has 484 divisors, whose sum is σ = 1325005667748. Its totient is φ = 125769646080.

The previous prime is 409537410047. The next prime is 409537410059. The reversal of 409537410048 is 840014735904.

409537410048 is a `hidden beast` number, since 4 + 0 + 9 + 537 + 4 + 100 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87313158144 + 322224251904 = 295488^2 + 567648^2 .

It is a junction number, because it is equal to n+sod(n) for n = 409537409985 and 409537410012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409537410043) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 786060028 + ... + 786060548.

Almost surely, 2^409537410048 is an apocalyptic number.

409537410048 is a gapful number since it is divisible by the number (48) 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 409537410048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662502833874).

409537410048 is an abundant number, since it is smaller than the sum of its proper divisors (915468257700).

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

409537410048 is an frugal number, since it uses more digits than its factorization.

409537410048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 409537410048 in words is "four hundred nine billion, five hundred thirty-seven million, four hundred ten thousand, forty-eight".