413781792000 has 144 divisors (see below), whose sum is σ = 1374376540992. Its totient is φ = 110341785600.

The previous prime is 413781791977. The next prime is 413781792001. The reversal of 413781792000 is 297187314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413781792001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2059114 + ... + 2251113.

Almost surely, 2^413781792000 is an apocalyptic number.

413781792000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413781792000 is an abundant number, since it is smaller than the sum of its proper divisors (960594748992).

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

413781792000 is an equidigital number, since it uses as much as digits as its factorization.

413781792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310261 (or 4310237 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 413781792000 in words is "four hundred thirteen billion, seven hundred eighty-one million, seven hundred ninety-two thousand".