39985471276416 has 192 divisors, whose sum is σ = 121575327466320. Its totient is φ = 13077008934912.

The previous prime is 39985471276391. The next prime is 39985471276417. The reversal of 39985471276416 is 61467217458993.

39985471276416 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 547 + 1 + 2 + 7 + 64 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39985471276417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10479235 + ... + 13776258.

Almost surely, 2^{39985471276416} is an apocalyptic number.

39985471276416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

39985471276416 is an abundant number, since it is smaller than the sum of its proper divisors (81589856189904).

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

39985471276416 is an equidigital number, since it uses as much as digits as its factorization.

39985471276416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24255575 (or 24255551 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 39985471276416 in words is "thirty-nine trillion, nine hundred eighty-five billion, four hundred seventy-one million, two hundred seventy-six thousand, four hundred sixteen".