413685378480 has 320 divisors, whose sum is σ = 1449267240960. Its totient is φ = 96739737600.

The previous prime is 413685378467. The next prime is 413685378497. The reversal of 413685378480 is 84873586314.

It is a super-2 number, since 2×413685378480² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413685378480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9611889 + ... + 9654831.

It is an arithmetic number, because the mean of its divisors is an integer number (4528960128).

Almost surely, 2^413685378480 is an apocalyptic number.

413685378480 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 413685378480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724633620480).

413685378480 is an abundant number, since it is smaller than the sum of its proper divisors (1035581862480).

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

413685378480 is a wasteful number, since it uses less digits than its factorization.

413685378480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43100 (or 43094 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 413685378480 in words is "four hundred thirteen billion, six hundred eighty-five million, three hundred seventy-eight thousand, four hundred eighty".