39445365960 has 1536 divisors, whose sum is σ = 185330073600. Its totient is φ = 7253452800.

The previous prime is 39445365943. The next prime is 39445365989. The reversal of 39445365960 is 6956354493.

39445365960 is a `hidden beast` number, since 3 + 9 + 4 + 45 + 3 + 6 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 39445365897 and 39445365906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 368648227 + ... + 368648333.

It is an arithmetic number, because the mean of its divisors is an integer number (120657600).

Almost surely, 2^39445365960 is an apocalyptic number.

39445365960 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 39445365960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92665036800).

39445365960 is an abundant number, since it is smaller than the sum of its proper divisors (145884707640).

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

39445365960 is a wasteful number, since it uses less digits than its factorization.

39445365960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

It can be divided in two parts, 394 and 45365960, that added together give a palindrome (45366354).

The spelling of 39445365960 in words is "thirty-nine billion, four hundred forty-five million, three hundred sixty-five thousand, nine hundred sixty".