39189126749472 has 432 divisors, whose sum is σ = 136795560894720. Its totient is φ = 10589726214144.

The previous prime is 39189126749447. The next prime is 39189126749491. The reversal of 39189126749472 is 27494762198193.

39189126749472 is a `hidden beast` number, since 3 + 9 + 1 + 8 + 9 + 1 + 2 + 67 + 494 + 72 = 666.

39189126749472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 39189126749472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28208953 + ... + 29565575.

It is an arithmetic number, because the mean of its divisors is an integer number (316656390960).

Almost surely, 2^{39189126749472} is an apocalyptic number.

39189126749472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39189126749472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68397780447360).

39189126749472 is an abundant number, since it is smaller than the sum of its proper divisors (97606434145248).

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

39189126749472 is a wasteful number, since it uses less digits than its factorization.

39189126749472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356765 (or 1356747 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 39189126749472 in words is "thirty-nine trillion, one hundred eighty-nine billion, one hundred twenty-six million, seven hundred forty-nine thousand, four hundred seventy-two".