982831339002240 has 2304 divisors, whose sum is σ = 4263645859200000. Its totient is φ = 203148268240896.

The previous prime is 982831339002239. The next prime is 982831339002257. The reversal of 982831339002240 is 42200933138289.

982831339002240 is a `hidden beast` number, since 9 + 8 + 2 + 8 + 3 + 1 + 3 + 390 + 0 + 2 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 468237892711 + ... + 468237894809.

It is an arithmetic number, because the mean of its divisors is an integer number (1850540737500).

Almost surely, 2^{982831339002240} is an apocalyptic number.

982831339002240 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 982831339002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131822929600000).

982831339002240 is an abundant number, since it is smaller than the sum of its proper divisors (3280814520197760).

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

982831339002240 is a wasteful number, since it uses less digits than its factorization.

982831339002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 982831339002240 in words is "nine hundred eighty-two trillion, eight hundred thirty-one billion, three hundred thirty-nine million, two thousand, two hundred forty".