982264631040 has 2592 divisors, whose sum is σ = 4634496921600. Its totient is φ = 197522841600.

The previous prime is 982264631039. The next prime is 982264631069. The reversal of 982264631040 is 40136462289.

982264631040 is a `hidden beast` number, since 9 + 8 + 2 + 2 + 6 + 4 + 631 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 31685955825 + ... + 31685955855.

Almost surely, 2^982264631040 is an apocalyptic number.

982264631040 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 982264631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317248460800).

982264631040 is an abundant number, since it is smaller than the sum of its proper divisors (3652232290560).

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

982264631040 is an frugal number, since it uses more digits than its factorization.

982264631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 982264631040 in words is "nine hundred eighty-two billion, two hundred sixty-four million, six hundred thirty-one thousand, forty".