39109663932416 has 1440 divisors, whose sum is σ = 110392054456320. Its totient is φ = 13644752486400.

The previous prime is 39109663932413. The next prime is 39109663932431. The reversal of 39109663932416 is 61423936690193.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is not an unprimeable number, because it can be changed into a prime (39109663932413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379705475021 + ... + 379705475123.

It is an arithmetic number, because the mean of its divisors is an integer number (76661148928).

Almost surely, 2^{39109663932416} 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 39109663932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55196027228160).

39109663932416 is an abundant number, since it is smaller than the sum of its proper divisors (71282390523904).

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

39109663932416 is a wasteful number, since it uses less digits than its factorization.

39109663932416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 62.

The spelling of 39109663932416 in words is "thirty-nine trillion, one hundred nine billion, six hundred sixty-three million, nine hundred thirty-two thousand, four hundred sixteen".