39472107408 has 280 divisors, whose sum is σ = 120624835320. Its totient is φ = 12488878080.

The previous prime is 39472107361. The next prime is 39472107419. The reversal of 39472107408 is 80470127493.

39472107408 is a `hidden beast` number, since 39 + 472 + 107 + 40 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3710271744 + 35761835664 = 60912^2 + 189108^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20632660 + ... + 20634572.

Almost surely, 2^39472107408 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 39472107408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60312417660).

39472107408 is an abundant number, since it is smaller than the sum of its proper divisors (81152727912).

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

39472107408 is a wasteful number, since it uses less digits than its factorization.

39472107408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 39472107408 in words is "thirty-nine billion, four hundred seventy-two million, one hundred seven thousand, four hundred eight".