413982575200480 has 384 divisors, whose sum is σ = 1150773142780800. Its totient is φ = 138747197030400.

The previous prime is 413982575200433. The next prime is 413982575200499. The reversal of 413982575200480 is 84002575289314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46931474470 + ... + 46931483290.

It is an arithmetic number, because the mean of its divisors is an integer number (2996805059325).

Almost surely, 2^{413982575200480} is an apocalyptic number.

413982575200480 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 413982575200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575386571390400).

413982575200480 is an abundant number, since it is smaller than the sum of its proper divisors (736790567580320).

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

413982575200480 is a wasteful number, since it uses less digits than its factorization.

413982575200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11758 (or 11750 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 413982575200480 in words is "four hundred thirteen trillion, nine hundred eighty-two billion, five hundred seventy-five million, two hundred thousand, four hundred eighty".