409890361252320 has 288 divisors, whose sum is σ = 1507385321586144. Its totient is φ = 100826546688000.

The previous prime is 409890361252313. The next prime is 409890361252369. The reversal of 409890361252320 is 23252163098904.

409890361252320 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 9 + 0 + 3 + 61 + 252 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19617630 + ... + 34707810.

It is an arithmetic number, because the mean of its divisors is an integer number (5233976811063).

Almost surely, 2^{409890361252320} is an apocalyptic number.

409890361252320 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 409890361252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753692660793072).

409890361252320 is an abundant number, since it is smaller than the sum of its proper divisors (1097494960333824).

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

409890361252320 is a wasteful number, since it uses less digits than its factorization.

409890361252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15091666 (or 15091655 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 409890361252320 in words is "four hundred nine trillion, eight hundred ninety billion, three hundred sixty-one million, two hundred fifty-two thousand, three hundred twenty".