39899284128 has 384 divisors, whose sum is σ = 129969100800. Its totient is φ = 11807078400.

The previous prime is 39899284097. The next prime is 39899284129. The reversal of 39899284128 is 82148299893.

It is a happy number.

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 (39899284129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90886533 + ... + 90886971.

It is an arithmetic number, because the mean of its divisors is an integer number (338461200).

Almost surely, 2^39899284128 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 39899284128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64984550400).

39899284128 is an abundant number, since it is smaller than the sum of its proper divisors (90069816672).

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

39899284128 is a wasteful number, since it uses less digits than its factorization.

39899284128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 659 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 39899284128 in words is "thirty-nine billion, eight hundred ninety-nine million, two hundred eighty-four thousand, one hundred twenty-eight".