39049122816 has 440 divisors, whose sum is σ = 128591164416. Its totient is φ = 11705057280.

The previous prime is 39049122793. The next prime is 39049122839. The reversal of 39049122816 is 61822194093.

It is an interprime number because it is at equal distance from previous prime (39049122793) and next prime (39049122839).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115872600 + ... + 115872936.

Almost surely, 2^39049122816 is an apocalyptic number.

39049122816 is a gapful number since it is divisible by the number (36) 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 39049122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64295582208).

39049122816 is an abundant number, since it is smaller than the sum of its proper divisors (89542041600).

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

39049122816 is a wasteful number, since it uses less digits than its factorization.

39049122816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 39049122816 in words is "thirty-nine billion, forty-nine million, one hundred twenty-two thousand, eight hundred sixteen".