39102728144 has 80 divisors (see below), whose sum is σ = 79603722000. Its totient is φ = 18582896640.

The previous prime is 39102728131. The next prime is 39102728179. The reversal of 39102728144 is 44182720193.

It can be written as a sum of positive squares in 8 ways, for example, as 1884601744 + 37218126400 = 43412^2 + 192920^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9950372 + ... + 9954300.

It is an arithmetic number, because the mean of its divisors is an integer number (995046525).

Almost surely, 2^39102728144 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 39102728144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39801861000).

39102728144 is an abundant number, since it is smaller than the sum of its proper divisors (40500993856).

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

39102728144 is a wasteful number, since it uses less digits than its factorization.

39102728144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 39102728144 in words is "thirty-nine billion, one hundred two million, seven hundred twenty-eight thousand, one hundred forty-four".