413950821349120 has 144 divisors (see below), whose sum is σ = 1108064202628320. Its totient is φ = 146856167014400.

The previous prime is 413950821349103. The next prime is 413950821349181. The reversal of 413950821349120 is 21943128059314.

It is a super-4 number, since 4×413950821349120⁴ (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357958285 + ... + 359112844.

It is an arithmetic number, because the mean of its divisors is an integer number (7694890296030).

Almost surely, 2^{413950821349120} is an apocalyptic number.

413950821349120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413950821349120 is an abundant number, since it is smaller than the sum of its proper divisors (694113381279200).

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

413950821349120 is a wasteful number, since it uses less digits than its factorization.

413950821349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717071202 (or 717071188 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 413950821349120 in words is "four hundred thirteen trillion, nine hundred fifty billion, eight hundred twenty-one million, three hundred forty-nine thousand, one hundred twenty".