409713551040 has 224 divisors, whose sum is σ = 1410957019584. Its totient is φ = 100321853440.

The previous prime is 409713551021. The next prime is 409713551063. The reversal of 409713551040 is 40155317904.

It is a self number, because there is not a number n which added to its sum of digits gives 409713551040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362962 + ... + 975278.

It is an arithmetic number, because the mean of its divisors is an integer number (6298915266).

Almost surely, 2^409713551040 is an apocalyptic number.

409713551040 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 409713551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705478509792).

409713551040 is an abundant number, since it is smaller than the sum of its proper divisors (1001243468544).

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

409713551040 is a wasteful number, since it uses less digits than its factorization.

409713551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612395 (or 612385 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

Adding to 409713551040 its reverse (40155317904), we get a palindrome (449868868944).

The spelling of 409713551040 in words is "four hundred nine billion, seven hundred thirteen million, five hundred fifty-one thousand, forty".