39040125392768 has 96 divisors (see below), whose sum is σ = 78430277174040. Its totient is φ = 19356537166848.

The previous prime is 39040125392767. The next prime is 39040125392819. The reversal of 39040125392768 is 86729352104093.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39040125392767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2376574571 + ... + 2376590997.

It is a 1-persistent number, because it is pandigital, but 2⋅39040125392768 = 78080250785536 is not.

Almost surely, 2^{39040125392768} 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 39040125392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39215138587020).

39040125392768 is an abundant number, since it is smaller than the sum of its proper divisors (39390151781272).

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

39040125392768 is an equidigital number, since it uses as much as digits as its factorization.

39040125392768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17252 (or 16933 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 59.

The spelling of 39040125392768 in words is "thirty-nine trillion, forty billion, one hundred twenty-five million, three hundred ninety-two thousand, seven hundred sixty-eight".