39744628441496 has 256 divisors, whose sum is σ = 89185011793920. Its totient is φ = 16403337216000.

The previous prime is 39744628441451. The next prime is 39744628441501. The reversal of 39744628441496 is 69414482644793.

It is a Harshad number since it is a multiple of its sum of digits (71).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 984708356 + ... + 984748716.

It is an arithmetic number, because the mean of its divisors is an integer number (348378952320).

Almost surely, 2^{39744628441496} 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 39744628441496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44592505896960).

39744628441496 is an abundant number, since it is smaller than the sum of its proper divisors (49440383352424).

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

39744628441496 is a wasteful number, since it uses less digits than its factorization.

39744628441496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40666 (or 40662 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 71.

The spelling of 39744628441496 in words is "thirty-nine trillion, seven hundred forty-four billion, six hundred twenty-eight million, four hundred forty-one thousand, four hundred ninety-six".