39471482880 has 288 divisors, whose sum is σ = 139399467480. Its totient is φ = 10325852160.

The previous prime is 39471482863. The next prime is 39471482887. The reversal of 39471482880 is 8828417493.

It is a happy number.

39471482880 is a `hidden beast` number, since 3 + 94 + 71 + 482 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32607691776 + 6863791104 = 180576^2 + 82848^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×39471482880² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39471482887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4880440 + ... + 4888520.

Almost surely, 2^39471482880 is an apocalyptic number.

39471482880 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 39471482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69699733740).

39471482880 is an abundant number, since it is smaller than the sum of its proper divisors (99927984600).

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

39471482880 is a wasteful number, since it uses less digits than its factorization.

39471482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8167 (or 8144 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 39471482880 in words is "thirty-nine billion, four hundred seventy-one million, four hundred eighty-two thousand, eight hundred eighty".