1982413440 has 448 divisors, whose sum is σ = 8134018560. Its totient is φ = 452376576.

The previous prime is 1982413421. The next prime is 1982413471. The reversal of 1982413440 is 443142891.

It is a happy number.

1982413440 is a `hidden beast` number, since 198 + 24 + 1 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1982413395 and 1982413404.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 3265617 + ... + 3266223.

Almost surely, 2^1982413440 is an apocalyptic number.

1982413440 is a gapful number since it is divisible by the number (10) 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 1982413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067009280).

1982413440 is an abundant number, since it is smaller than the sum of its proper divisors (6151605120).

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

1982413440 is an frugal number, since it uses more digits than its factorization.

1982413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1982413440 is about 44524.3016789708. The cubic root of 1982413440 is about 1256.2172261443.

The spelling of 1982413440 in words is "one billion, nine hundred eighty-two million, four hundred thirteen thousand, four hundred forty".