39947471424 has 336 divisors, whose sum is σ = 138351158400. Its totient is φ = 10765467648.

The previous prime is 39947471407. The next prime is 39947471429. The reversal of 39947471424 is 42417474993.

It is a happy number.

39947471424 is a `hidden beast` number, since 3 + 99 + 47 + 471 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (39947471429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19687242 + ... + 19689270.

It is an arithmetic number, because the mean of its divisors is an integer number (411759400).

Almost surely, 2^39947471424 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 39947471424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69175579200).

39947471424 is an abundant number, since it is smaller than the sum of its proper divisors (98403686976).

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

39947471424 is a wasteful number, since it uses less digits than its factorization.

39947471424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2317 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 39947471424 in words is "thirty-nine billion, nine hundred forty-seven million, four hundred seventy-one thousand, four hundred twenty-four".