413398982000 has 80 divisors (see below), whose sum is σ = 1023979398624. Its totient is φ = 161326400000.

The previous prime is 413398981997. The next prime is 413398982033. The reversal of 413398982000 is 289893314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2438726 + ... + 2602725.

Almost surely, 2^413398982000 is an apocalyptic number.

413398982000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413398982000 is an abundant number, since it is smaller than the sum of its proper divisors (610580416624).

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

413398982000 is a wasteful number, since it uses less digits than its factorization.

413398982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041515 (or 5041499 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The spelling of 413398982000 in words is "four hundred thirteen billion, three hundred ninety-eight million, nine hundred eighty-two thousand".