39641729508864 has 1920 divisors, whose sum is σ = 147126583296000. Its totient is φ = 10476611518464.

The previous prime is 39641729508863. The next prime is 39641729508923. The reversal of 39641729508864 is 46880592714693.

39641729508864 is a `hidden beast` number, since 3 + 9 + 6 + 4 + 17 + 29 + 508 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 39641729508792 and 39641729508801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39641729508863) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129126154599 + ... + 129126154905.

It is an arithmetic number, because the mean of its divisors is an integer number (76628428800).

It is a 1-persistent number, because it is pandigital, but 2⋅39641729508864 = 79283459017728 is not.

Almost surely, 2^{39641729508864} 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 39641729508864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73563291648000).

39641729508864 is an abundant number, since it is smaller than the sum of its proper divisors (107484853787136).

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

39641729508864 is a wasteful number, since it uses less digits than its factorization.

39641729508864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 39641729508864 in words is "thirty-nine trillion, six hundred forty-one billion, seven hundred twenty-nine million, five hundred eight thousand, eight hundred sixty-four".