39066471295488 has 960 divisors, whose sum is σ = 147083103078912. Its totient is φ = 9687080632320.

The previous prime is 39066471295459. The next prime is 39066471295493. The reversal of 39066471295488 is 88459217466093.

39066471295488 is a `hidden beast` number, since 3 + 9 + 0 + 6 + 6 + 4 + 71 + 2 + 9 + 548 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8718246208 + ... + 8718250688.

It is a 2-persistent number, because it is pandigital, and so is 2⋅39066471295488 = 78132942590976, but 3⋅39066471295488 = 117199413886464 is not.

Almost surely, 2^{39066471295488} 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 39066471295488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73541551539456).

39066471295488 is an abundant number, since it is smaller than the sum of its proper divisors (108016631783424).

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

39066471295488 is a wasteful number, since it uses less digits than its factorization.

39066471295488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5765 (or 5746 counting only the distinct ones).

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

The spelling of 39066471295488 in words is "thirty-nine trillion, sixty-six billion, four hundred seventy-one million, two hundred ninety-five thousand, four hundred eighty-eight".