39948228576 has 144 divisors (see below), whose sum is σ = 114976278144. Its totient is φ = 13155581952.

The previous prime is 39948228559. The next prime is 39948228623. The reversal of 39948228576 is 67582284993.

39948228576 is a `hidden beast` number, since 3 + 9 + 9 + 482 + 2 + 85 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24107940 + ... + 24109596.

It is an arithmetic number, because the mean of its divisors is an integer number (798446376).

Almost surely, 2^39948228576 is an apocalyptic number.

39948228576 is a gapful number since it is divisible by the number (36) 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 39948228576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57488139072).

39948228576 is an abundant number, since it is smaller than the sum of its proper divisors (75028049568).

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

39948228576 is a wasteful number, since it uses less digits than its factorization.

39948228576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2622 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 39948228576 in words is "thirty-nine billion, nine hundred forty-eight million, two hundred twenty-eight thousand, five hundred seventy-six".