39949122816 has 216 divisors, whose sum is σ = 117241828704. Its totient is φ = 13080637440.

The previous prime is 39949122793. The next prime is 39949122841. The reversal of 39949122816 is 61822194993.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32294550 + ... + 32295786.

It is an arithmetic number, because the mean of its divisors is an integer number (542786244).

Almost surely, 2^39949122816 is an apocalyptic number.

39949122816 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 39949122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58620914352).

39949122816 is an abundant number, since it is smaller than the sum of its proper divisors (77292705888).

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

39949122816 is a wasteful number, since it uses less digits than its factorization.

39949122816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1480 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 39949122816 in words is "thirty-nine billion, nine hundred forty-nine million, one hundred twenty-two thousand, eight hundred sixteen".