39984102816 has 192 divisors, whose sum is σ = 133693701120. Its totient is φ = 10186076160.

The previous prime is 39984102793. The next prime is 39984102827. The reversal of 39984102816 is 61820148993.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124951 + ... + 309161.

It is an arithmetic number, because the mean of its divisors is an integer number (696321360).

Almost surely, 2^39984102816 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 39984102816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66846850560).

39984102816 is an abundant number, since it is smaller than the sum of its proper divisors (93709598304).

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

39984102816 is a wasteful number, since it uses less digits than its factorization.

39984102816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184267 (or 184259 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 39984102816 in words is "thirty-nine billion, nine hundred eighty-four million, one hundred two thousand, eight hundred sixteen".