39439413216 has 768 divisors, whose sum is σ = 142829568000. Its totient is φ = 10699153920.

The previous prime is 39439413173. The next prime is 39439413227. The reversal of 39439413216 is 61231493493.

It is a happy number.

39439413216 is a `hidden beast` number, since 39 + 4 + 394 + 13 + 216 = 666.

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

Its product of digits (419904) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 744139846 + ... + 744139898.

It is an arithmetic number, because the mean of its divisors is an integer number (185976000).

Almost surely, 2^39439413216 is an apocalyptic number.

39439413216 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 39439413216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71414784000).

39439413216 is an abundant number, since it is smaller than the sum of its proper divisors (103390154784).

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

39439413216 is an frugal number, since it uses more digits than its factorization.

39439413216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 96 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The spelling of 39439413216 in words is "thirty-nine billion, four hundred thirty-nine million, four hundred thirteen thousand, two hundred sixteen".