3983123434640 has 240 divisors, whose sum is σ = 11299298798592. Its totient is φ = 1300459926528.

The previous prime is 3983123434627. The next prime is 3983123434643. The reversal of 3983123434640 is 464343213893.

It is not an unprimeable number, because it can be changed into a prime (3983123434643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6524729 + ... + 7109031.

Almost surely, 2^{3983123434640} 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 3983123434640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649649399296).

3983123434640 is an abundant number, since it is smaller than the sum of its proper divisors (7316175363952).

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

3983123434640 is a wasteful number, since it uses less digits than its factorization.

3983123434640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584414 (or 584401 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 50.

The spelling of 3983123434640 in words is "three trillion, nine hundred eighty-three billion, one hundred twenty-three million, four hundred thirty-four thousand, six hundred forty".