9982405440 has 1344 divisors, whose sum is σ = 46283270400. Its totient is φ = 2006581248.

The previous prime is 9982405439. The next prime is 9982405441. The reversal of 9982405440 is 445042899.

9982405440 is a `hidden beast` number, since 99 + 82 + 40 + 5 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (9982405439) and next prime (9982405441).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9982405441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136745244 + ... + 136745316.

Almost surely, 2^9982405440 is an apocalyptic number.

9982405440 is a gapful number since it is divisible by the number (90) 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 9982405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23141635200).

9982405440 is an abundant number, since it is smaller than the sum of its proper divisors (36300864960).

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

9982405440 is a wasteful number, since it uses less digits than its factorization.

9982405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9982405440 is about 99911.9884698528. The cubic root of 9982405440 is about 2153.1704039091.

The spelling of 9982405440 in words is "nine billion, nine hundred eighty-two million, four hundred five thousand, four hundred forty".