983439396240 has 240 divisors, whose sum is σ = 3552049975680. Its totient is φ = 224428216320.

The previous prime is 983439396229. The next prime is 983439396263. The reversal of 983439396240 is 42693934389.

983439396240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×983439396240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7354296 + ... + 7486824.

It is an arithmetic number, because the mean of its divisors is an integer number (14800208232).

Almost surely, 2^983439396240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 983439396240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776024987840).

983439396240 is an abundant number, since it is smaller than the sum of its proper divisors (2568610579440).

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

983439396240 is a wasteful number, since it uses less digits than its factorization.

983439396240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133190 (or 133177 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 60.

The spelling of 983439396240 in words is "nine hundred eighty-three billion, four hundred thirty-nine million, three hundred ninety-six thousand, two hundred forty".