39996817217280 has 2880 divisors, whose sum is σ = 182055283458048. Its totient is φ = 8144211640320.

The previous prime is 39996817217257. The next prime is 39996817217293. The reversal of 39996817217280 is 8271271869993.

39996817217280 is a `hidden beast` number, since 3 + 99 + 96 + 8 + 172 + 1 + 7 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 39996817217199 and 39996817217208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 104430331969 + ... + 104430332351.

Almost surely, 2^{39996817217280} is an apocalyptic number.

39996817217280 is a gapful number since it is divisible by the number (30) 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 39996817217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91027641729024).

39996817217280 is an abundant number, since it is smaller than the sum of its proper divisors (142058466240768).

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

39996817217280 is a wasteful number, since it uses less digits than its factorization.

39996817217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 39996817217280 in words is "thirty-nine trillion, nine hundred ninety-six billion, eight hundred seventeen million, two hundred seventeen thousand, two hundred eighty".